Write a linear inequality to represent the information given. Shanley would like to give $5 gift cards and $8 teddy bears as party favors. Shanley has $136 to spend on party favors. Enter an inequality to find the number of gift cards x and teddy bears y Shanley could purchase. Give one solution and show how your solution works for your inequality.

5c + 8b < = 136 Where c = gift cards and b = teddy bears.

Subtract 8b from both sides
5c < = -8b + 136
Divide both sides by 5
c < = -8/5 b + 136/5
c < = -1.6b + 27.2
c < = -1.6(7) + 27.2
c < = -11.2 + 27.2
c = 16
Gift cards 16
Teddy bears 7
(7, 16)

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lublana lublana · Answer 2 · 2019-12-12T07:36:47+01:00

Answer:

[tex]5x+8y\leq 136[/tex]

Solution:(6,13)

Step-by-step explanation:

We are given that

Cost of 1 gift card=$5

Cost of 1 teddy bear=$8

Shanley has money to spend on party favors=$136

Number of gift cards=x

Number of teddy bears=y

We have to find the linear inequality to represents the given information.

According to question

[tex]5x+8y\leq 136[/tex]

Subtracting 5x on both sides

[tex]8y\leq 136-5x[/tex]

Divided by 8 on both sides then, we get

[tex]y\leq \frac{136-5x}{8}[/tex]

Substitute x=6

Then, we get

[tex]y\leq \frac{136-5(6)}{8}=13.25[/tex]

[tex]y\leq 13.25[/tex]

Number of teddy bears=13

Number of gift cards=6

[tex]5(6)+13(8)=134[/tex] <136

Point (6,13) satisfied the inequality.

Therefore, the solution of given inequality is (6,13).