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The football team had a fundraiser . They received $1588.50 from the sale of 110 shirts and hats . shirts sold for 14.95 each. hats sold for 12.95 each . how many hats did they sell

Sagot :

kkfoug

Answer:

28 hats

Step-by-step explanation:

We can solve this using a system of equations:

14.95s + 12.95h = 1588.50

s + h = 110

Let's isolate the shirt variable in the second equation:

s + h = 110

s = -h + 110

Now that we have isolated s we can plug it back into the first equation:

14.95(-h + 110) + 12.95h = 1588.50

Solve for h

-14.95h + 1644.5 + 12.95h = 1588.50

-2h + 1644.5 = 1588.50

-2h = -56

h = 28

The football team sold a total of 28 hats.

Hope this helps!!

- Kay :)

The number of hats did they sell should be considered as the 28 hats when the received amount is given.

Calculation of the number of hats:

Since

The football team had a fundraiser .

They received $1588.50 from the sale of 110 shirts and hats .

shirts sold for 14.95 each. hats sold for 12.95 each .

So, the following equations are applied

14.95s + 12.95h = 1588.50

s + h = 110

We can write like

s = -h + 110

Now

14.95(-h + 110) + 12.95h = 1588.50

-14.95h + 1644.5 + 12.95h = 1588.50

-2h + 1644.5 = 1588.50

-2h = -56

h = 28

Hence, The football team sold a total of 28 hats.

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