Question

Jake and Joshua have new jobs selling gift cards at a local convenience store at the cash register, but their pay is different. Jake earns a foundational wage of $15 per hour, as well as $3 for each gift card sold. Joshua gets $4 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 gift cards would that make up to?

Answer 1

Statement Problem: Jake and Joshua have new jobs selling gift cards at a local convenience store at the cash register, but their pay is different. Jake earns a foundational wage of $15 per hour, as well as $3 for each gift card sold. Joshua gets $4 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 gift cards would that make up to?

Solution:

Let the certain number of gift cards they each sell in one hour be g;

Thus, for that hour, Jake earns;

`\text{ \$(15+3g)}`

and Joshua earns;

`\text{ \$(10+4g)}`

If they end up earning the same amount of pay for that hour, then;

`\begin{gathered} 15+3g=10+4g \\ \text{Collect like terms;} \\ 15-10=4g-3g \\ g=5 \end{gathered}`

Thus, they each sell five giftcards.