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. Write an inequality that represents the number of cakes (C) and quiches (Q) Gulnaz can bake according to her plan.

Define variables: Let's define the variables first. Let C be the number of cakes Gulnaz bakes and Q be the number of quiches she bakes. We know that each cake uses 5 eggs and each quiche uses 3 eggs. Gulnaz plans to use less than 26 eggs in total.Write equation for total number of eggs used: Now, we can write an equation that represents the total number of eggs used based on the number of cakes and quiches. The total number of eggs used is 5 times the number of cakes plus 3 times the number of quiches. This can be written as 5C + 3Q.Write inequality for total number of eggs used: Since Gulnaz plans to use less than 26 eggs, we can write the inequality as 5C + 3Q < 26. This inequality represents the condition that the total number of eggs used for cakes and quiches must be less than 26.

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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.
Write an inequality that represents the number of cakes
(C) and quiches
(Q) Gulnaz can bake according to her plan.

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. $\newline$ Write an inequality that represents the number of cakes $(C)$ and quiches $(Q)$ Gulnaz can bake according to her plan.

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Algebra 1

Modeling with linear inequalities

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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.

\newline

Write an inequality that represents the number of cakes

(C)

and quiches

(Q)

Gulnaz can bake according to her plan.

Define variables: Let's define the variables first. Let $C$ be the number of cakes Gulnaz bakes and $Q$ be the number of quiches she bakes. We know that each cake uses $5$ eggs and each quiche uses $3$ eggs. Gulnaz plans to use less than $26$ eggs in total.
Write equation for total number of eggs used: Now, we can write an equation that represents the total number of eggs used based on the number of cakes and quiches. The total number of eggs used is $5$ times the number of cakes plus $3$ times the number of quiches. This can be written as $5C + 3Q$ .
Write inequality for total number of eggs used: Since Gulnaz plans to use less than $26$ eggs, we can write the inequality as 5C + 3Q < 26. This inequality represents the condition that the total number of eggs used for cakes and quiches must be less than $26$ .