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Gulnaz plans to use less than 26 eggs while baking. She uses 5 eggs for each cake that she bakes, and 3 eggs for each quiche that she bakes. Which of the following inequalities best represents the number of cakes,
C, and quiches,
Q, Gulnaz can bake according to her plan?
Choose 1 answer:
(A)
5C+3Q < 26
(B)
3C+5Q < 26
(C)
3C+5Q > 26
(D)
5C+3Q > 26

Gulnaz plans to use less than $26$ eggs while baking. She uses $5$ eggs for each cake that she bakes, and $3$ eggs for each quiche that she bakes. Which of the following inequalities best represents the number of cakes, $C$ , and quiches, $Q$ , Gulnaz can bake according to her plan? $\newline$ Choose $1$ answer: $\newline$ (A) 5 C+3 Q<26 $\newline$ (B) 3 C+5 Q<26 $\newline$ (C) 3 C+5 Q>26 $\newline$ (D) 5 C+3 Q>26

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Write a linear inequality: word problems

Full solution

Q. Gulnaz plans to use less than

26

eggs while baking. She uses

5

eggs for each cake that she bakes, and

3

eggs for each quiche that she bakes. Which of the following inequalities best represents the number of cakes,

C

, and quiches,

Q

, Gulnaz can bake according to her plan?

\newline

Choose

1

answer:

\newline

(A)

5 C+3 Q<26

\newline

(B)

3 C+5 Q<26

\newline

(C)

3 C+5 Q>26

\newline

(D)

5 C+3 Q>26

Problem Description: Gulnaz plans to use less than $26$ eggs while baking. She uses $5$ eggs for each cake and $3$ eggs for each quiche. We need to find an inequality that represents the number of cakes, $C$ , and quiches, $Q$ , she can bake without exceeding her egg limit.
Step $1$ : Let's denote the number of cakes Gulnaz bakes as $C$ and the number of quiches as $Q$ . Since each cake requires $5$ eggs, the total number of eggs used for cakes is $5C$ . Similarly, since each quiche requires $3$ eggs, the total number of eggs used for quiches is $3Q$ .
Step $2$ : The total number of eggs used for both cakes and quiches is the sum of the eggs used for cakes and the eggs used for quiches, which is $5C + 3Q$ . Gulnaz plans to use less than $26$ eggs, so the inequality must reflect that the total number of eggs used is less than $26$ .
Step $3$ : The correct inequality that represents the situation is 5C + 3Q < 26. This inequality shows that the combined total of eggs used for cakes and quiches must be less than $26$ .

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