Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Hiroto spends $68 on e-books and paperback books combined. Each ebook he buys costs $5, and each paperback book he buys costs $12. If Hiroto buys x e-books and y paperback books, which of the following equations best models the situation? Choose 1 answer: (A) 5x+12 y=68 (B) 12 x+5y=68 (C) 17(x+y)=68 (D) 17 xy=68

Hiroto spends $68 \$ 68 on e-books and paperback books combined. Each ebook he buys costs $5 \$ 5 , and each paperback book he buys costs $12 \$ 12 . If Hiroto buys x x e-books and y y paperback books, which of the following equations best models the situation?\newlineChoose 11 answer:\newline(A) 5x+12y=68 5 x+12 y=68 \newline(B) 12x+5y=68 12 x+5 y=68 \newline(C) 17(x+y)=68 17(x+y)=68 \newline(D) 17xy=68 17 x y=68

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Write a linear inequality: word problemsright chevron icon

Full solution

Q. Hiroto spends $68 \$ 68 on e-books and paperback books combined. Each ebook he buys costs $5 \$ 5 , and each paperback book he buys costs $12 \$ 12 . If Hiroto buys x x e-books and y y paperback books, which of the following equations best models the situation?\newlineChoose 11 answer:\newline(A) 5x+12y=68 5 x+12 y=68 \newline(B) 12x+5y=68 12 x+5 y=68 \newline(C) 17(x+y)=68 17(x+y)=68 \newline(D) 17xy=68 17 x y=68
  1. Identify costs and total spent: Identify the cost of each item and the total amount spent.\newlineHiroto spends $68\$68 in total on e-books and paperback books.\newlineThe cost of each e-book is $5\$5.\newlineThe cost of each paperback book is $12\$12.\newlineWe need to find an equation that represents the total cost of xx e-books and yy paperback books.
  2. Equation for e-book cost: Write an equation to represent the total cost of the e-books.\newlineThe total cost of the e-books Hiroto buys is the number of e-books xx times the cost of each e-book ($5\$5).\newlineTotal cost of e-books = 5×x=5x5 \times x = 5x
  3. Equation for paperback book cost: Write an equation to represent the total cost of the paperback books.\newlineThe total cost of the paperback books Hiroto buys is the number of paperback books yy times the cost of each paperback book ($12\$12).\newlineTotal cost of paperback books = 12×y=12y12 \times y = 12y
  4. Combine costs into single equation: Combine the costs of e-books and paperback books to form a single equation.\newlineThe total cost of all books is the sum of the total cost of e-books and the total cost of paperback books.\newlineTotal cost = Total cost of e-books + Total cost of paperback books\newlineTotal cost = 5x+12y5x + 12y
  5. Set equation equal to total spent: Set the combined cost equal to the total amount spent by Hiroto.\newlineHiroto spends a total of $68\$68 on books.\newlineSo, the equation that represents the total cost is:\newline5x+12y=685x + 12y = 68

More problems from Write a linear inequality: word problems

Question
Solve for ss.\newline∣s∣+3≥8|s| + 3 \geq 8
Get tutor helpright-arrow

Posted 4 months ago

Question
Which compound inequality represents the value of x?x ? \newline(x−1)(x+1)>0(x - 1)(x + 1) > 0\newline
Get tutor helpright-arrow

Posted 4 months ago

Question
A particular company charges advertisers a one time cost of $500\$500, in addition to $4.50\$4.50 for every one thousand times an advertisement is shown on the company's webpage. An advertiser wants its ad to appear MM thousand times on the webpage, but does not want to spend more than $5,000\$5,000. Which of the following inequalities best describes the situation? \newlineChoices: \newline(A) 500+4.50M≥5,000500+4.50M\geq5,000 \newline(B) 4.50+500M>5,0004.50+500M>5,000 \newline(C) 500+4.50M≤5,000500+4.50M\leq5,000 \newline(D) 500+4.50M<5,000500+4.50M<5,000
Get tutor helpright-arrow

Posted 7 months ago

Question
7x+1<x+97x+1 < x+9\newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x>43x > \frac{4}{3}\newline(B) x<43x < \frac{4}{3}\newline(C) x<1x < 1\newline(D) x<53x < \frac{5}{3}
Get tutor helpright-arrow

Posted 4 months ago

Question
52−3x<−1452-3x < -14\newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x>−383x > -\frac{38}{3}\newline(B) x>383x > \frac{38}{3}\newline(C) x<22x < 22\newline(D) x>22x > 22
Get tutor helpright-arrow

Posted 10 months ago

Question
5−3x>2x+25-3x > 2x+2\newlineWhich of the following best describes the solutions to the inequality shown?\newlineChoose 11 answer:\newline(A) x<75x < \frac{7}{5}\newline(B) x<3x < 3\newline(C) x<35x < \frac{3}{5}\newline(D) x>35x > \frac{3}{5}
Get tutor helpright-arrow

Posted 10 months ago

Question
Rani is a real estate agent. For each house she sells, she pays $100 \$ 100 in fees, but earns a commission of 1.8% 1.8 \% of the selling price of the house. Rani's total profit from a particular house is $4,580 \$ 4,580 . If p p represents the selling price of the house, which equation best models the situation?\newlineChoose 11 answer:\newline(A) 0.018p−100=4580 0.018 p-100=4580 \newline(B) 0.018p+100=4580 0.018 p+100=4580 \newline(C) (100−0.018)p=4580 (100-0.018) p=4580 \newline(D) (100+0.018)p=4580 (100+0.018) p=4580
Get tutor helpright-arrow

Posted 8 months ago

Question
A commercial airplane that is 11,500500 miles into a 22,500500 -mile journey is traveling at 450450 knots in still air when it picks up a tailwind of 150150 knots (in the same direction). If h h is the number of hours remaining in the airplane's flight, which of the following equations best describes the situation?\newline11 knot=1.15\mathrm{knot}=1.15 miles per hour (mph)\newlineChoose 11 answer:\newline(A) 1,500+690h=2,500 1,500+690 h=2,500 \newline(B) 1,500+600h=2,500 1,500+600 h=2,500 \newline(C) 1,500−600h=2,500 1,500-600 h=2,500 \newline(D) 1,500−690h=2,500 1,500-690 h=2,500
Get tutor helpright-arrow

Posted 7 months ago

Question
A weeping willow that is 1515 feet in height grows to a maximum height of 3535 feet in y y years at a constant rate of 2424 inches per year. Which of the following equations best describes this situation?\newline11 foot =12 =12 inches\newlineChoose 11 answer:\newline(A) 35=15+2y 35=15+2 y \newline(B) 35=15+24y 35=15+24 y \newline(C) 35=15−2y 35=15-2 y \newline(D) 35=15−24y 35=15-24 y
Get tutor helpright-arrow

Posted 10 months ago

Question
The gas mileage for a car is 2323 miles per gallon when the car travels at 6060 miles per hour. The car begins a trip with 1313 gallons in its tank, travels at an average speed of 6060 miles per hour for h h hours, and ends the trip with 1010 gallons in its tank. Which of the following equations best models this situation?\newlineChoose 11 answer:\newline(A) 13−23h60=10 13-\frac{23 h}{60}=10 \newline(B) 13−60h23=10 13-\frac{60 h}{23}=10 \newline(C) 13−60h23=10 \frac{13-60 h}{23}=10 \newline(D) 13−23h60=10 \frac{13-23 h}{60}=10
Get tutor helpright-arrow

Posted 8 months ago

View all (148)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant