Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

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.

View step-by-step help

View step-by-step help

Modeling with linear inequalities

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.

\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 $26$ .

More problems from Modeling with linear inequalities

Question

Write the following inequality in slope-intercept form.

\newline

9x+y \geq -17

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

\newline

Posted 2 months ago

Question

(2,\,1)

make the inequality

2x + 15y < 20

\newline

\newline

\newline

Posted 2 months ago

Question

Jack is fixing up his home and must spend less than

\$4,800

to hire carpenters and painters. Carpenters charge

\$60

per hour and painters charge

\$32

\newline

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x =

the number of hours of carpentry

\newline

y =

the number of hours of painting

\newline

\newline

32x + 60y < 4,800

\newline

60x + 32y < 4,800

\newline

32x - 60y < 4,800

\newline

60x - 32y < 4,800

Posted 2 months ago

Question

(2,\, 10)

a solution to this system of inequalities?

\newline

y \geq x + 10

\newline

y \leq 9x + 5

\newline

\newline

\newline

Posted 2 months ago

Question

Write the following inequality in slope-intercept form.

\newline

4x - 2y \leq 8

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 3 months ago

Question

Write the following inequality in slope-intercept form.

\newline

-3x + 5y > 15

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 3 months ago

Question

Write the following inequality in slope-intercept form.

\newline

2x + 3y < -6

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 3 months ago

Question

Write the following inequality in slope-intercept form.

\newline

-7x - y \geq 21

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 1 month ago

Question

Write the following inequality in slope-intercept form.

\newline

5x - 4y > -20

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 3 months ago

Question

Miyoko's goal is to earn more than

(950

this week. She earns

)250

for every day she works as a cryptographer, and earns

\$180

for every day she works as a geologist.

\newline

Write an inequality that represents the number of days Miyoko should work as a cryptographer

C

and as a geologist

G

to achieve her goal.

Posted 4 months ago