Question

Mikhael, Hema, and 5 friends will help run their school's fundraiser. They will wear

INT
EREST
either a red shirt or a red baseball cap during the event. They want to spend exactly
$40. Shirts cost $8 each and caps cost $4 each. Set up a system of equations to model
WX+ y = 7
the situation.Select the correct graph of the system
8x + 4y = 40
TE
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Answer 1

Please find the attached graph.

Let x represent number of shirts and y represent number of caps.

We have been given that Mikhael, Hema, and 5 friends will help run their school's fundraiser. They will wear either a red shirt or a red baseball cap during the event.

Since there are 7 people in total, so total number of caps and shirts will be 7. We can represent this information in an equation as:

`x+y=7...(1)`

We are also told that Shirts cost $8 each and caps cost $4 each. So cost of x shirts would be
`8x` and cost of y caps would be
`4y`.

Since they want to spent exactly $40, so cost of x shirts and y caps will be equal to 40. We can represent this information in an equation as:

`8x+4y=40...(2)`

We can divide equation (2) by 4 as:

`2x+y=10...(2)`

We can see from our attached graph that solution of this system is (3,4), therefore, 3 friends will wear shirts and 4 will wear caps to stay in the budget.