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Josiah purchases a wallet for $5.50 and five Snickers from Walmart. Samantha purchases a cellphone case for $ 8.50 and three Snickers from the Party City store. Both spend the same amount. What is the price of one Snicker?

Respuesta :

MrRoyal

Answer:

The cost of a Snicker is $1.50

Step-by-step explanation:

Represent the cost of sticker with s.

Given

Josiah:

[tex]Wallet = \$5.50[/tex]

[tex]Snickers = 5s[/tex]

Samantha:

[tex]Case = \$8.50[/tex]

[tex]Snickers = 3s[/tex]

We start by getting total amount for both:

[tex]Josiah: Wallet + Snickers[/tex]

[tex]Josiah: 5.50 + 5s[/tex]

[tex]Samantha: Case + Stickers[/tex]

[tex]Samantha: 8.50 + 3s[/tex]

Equate both

[tex]5.50 + 5s = 8.50 + 3s[/tex]

Collect Like Terms

[tex]5s - 3s = 8.50 - 5.50[/tex]

[tex]2s = 3[/tex]

Divide through by 2

[tex]s = 3/2[/tex]

[tex]s = \$1.50[/tex]

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