A group of 6 students went bowling. Each student rented bowling shoes for $x and spent $8
on snacks. A group of 4 adults also went bowling and paid twice as much to rent bowling shoes
as each student. Each adult also spent $9.50 on snacks. If both groups spent the same total
amount, what was the cost for each adult to rent bowling shoes?

Question

03-11-2021
Mathematics

contestada

A group of 6 students went bowling. Each student rented bowling shoes for $x and spent $8
on snacks. A group of 4 adults also went bowling and paid twice as much to rent bowling shoes
as each student. Each adult also spent $9.50 on snacks. If both groups spent the same total
amount, what was the cost for each adult to rent bowling shoes?

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ewomazinoade ewomazinoade · Answer 1 · 2021-11-05T10:49:44+01:00

The cost for each adult to rent bowling shoes is $8.

The total amount spent by the groups is the sum of the amount spent renting shoes and the cost of snacks. The expression that can be used to represent the total amount of money the students spent bowling is: 6($x) + $8(6) = $6x + $48. While, the expression that can be used to represent the total amount of money the adults spent bowling is: 4($2x) + $9.50(4) = $8x + $38.

If both groups spent the same amount of money, the expression that represents the total amount spent by the students and the adults would be equal.

$6x + $48 = $8x + $38

To solve for x, take the following steps;

Combine similar terms: $8x - $6x = $48 - $38
Subtract similar terms : $2x = $10.
Divide both sides by $2 = $10 / $2 = 5.

Each student spent $4 renting shoes.

The amount spent by adults = $4 x 2 = $8.

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