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Jake and Joshua have new jobs selling tech pieces at a local convenience store, but their pay is different. Jake earns a foundational wage of $15 per hour, as well as $10 for each part sold. Joshua gets 12$ for each gift card sold and earns a foundational wage of $10 per hour. If they each sell a certain number of gift cards in one hour, they will end up earning the same amount of pay. How many parts would that make up to?Write a system of equations, graph them, and type the solution.

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Solution

For this case we can do the following:

Jake:

15x + 10y

Joshua:

10x + 12y

Where x= number of hours worked

y = number of parts sold

We assume that the amount earned by two are equal so we can do this:

15x + 10y= 10x+12y

Let's assume that both work the same amount of hours e.g 8

15*8 + 10y= 10*8 + 12y

Solving for y we got:

120- 80= 2y

y=40

They need to sell 40 gift cards in order to get the same amount of money if both work for 8 hours in a day

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