Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Painted Pots lets customers choose and paint their own pottery. The store has teapots in multiple sizes. Rebecca chose to paint the largest teapot offered, which cost 18$18\$. She also painted 44 small teacups to go with her teapot. Rebecca spent a total of 42$42\$ on pottery.\newlineWhich equation can you use to find cc, the cost of each teacup?\newlineChoices:\newline(A) 18(c+4)=4218(c + 4) = 42\newline(B) 4(c+18)=424(c + 18) = 42\newline(C) 18c+4=4218c + 4 = 42\newline(D) 4c+18=424c + 18 = 42\newlineWhat was the cost of each teacup?\newline___$\_\_\_\$

Full solution

Q. Painted Pots lets customers choose and paint their own pottery. The store has teapots in multiple sizes. Rebecca chose to paint the largest teapot offered, which cost 18$18\$. She also painted 44 small teacups to go with her teapot. Rebecca spent a total of 42$42\$ on pottery.\newlineWhich equation can you use to find cc, the cost of each teacup?\newlineChoices:\newline(A) 18(c+4)=4218(c + 4) = 42\newline(B) 4(c+18)=424(c + 18) = 42\newline(C) 18c+4=4218c + 4 = 42\newline(D) 4c+18=424c + 18 = 42\newlineWhat was the cost of each teacup?\newline___$\_\_\_\$
  1. Understand the problem: Understand the problem.\newlineRebecca spent a total of 42$$42 \$\$\) on pottery. She bought the largest teapot for 18$$18 \$\$\) and 44 small teacups. We need to find the cost of each teacup, which is represented by cc.
  2. Set up the equation: Set up the equation.\newlineThe total cost is the sum of the cost of the teapot and the cost of the 44 teacups. The equation to represent this situation is the cost of the teapot plus 44 times the cost of each teacup equals the total cost.\newlineSo, the equation is 18+4c=4218 + 4c = 42.
  3. Identify the correct equation: Identify the correct equation from the choices.\newlineLooking at the choices given, the correct equation that matches our setup is (D) 4c+18=424c + 18 = 42.
  4. Solve for c: Solve the equation for c.\newlineSubtract 1818 from both sides of the equation to isolate the term with cc.\newline4c+1818=42184c + 18 - 18 = 42 - 18\newline4c=244c = 24\newlineNow, divide both sides by 44 to solve for cc.\newline4c4=244\frac{4c}{4} = \frac{24}{4}\newlinec=6c = 6
  5. Verify the solution: Verify the solution.\newlineTo verify, plug c=6c = 6 back into the equation.\newline4c+18=424c + 18 = 42\newline4(6)+18=424(6) + 18 = 42\newline24+18=4224 + 18 = 42\newline42=4242 = 42\newlineThe solution c=6c = 6 satisfies the equation, so it is correct.