The middle school baskeball team spent 192$ on a new pair of sneakers for the coach so that he would match the rest of the squad. Four boys quit the team so that they didn't have to pay for the sneakers. If they hadn't quit, the remaining boys would have each paid 8$ less. How many boys stayed on the team and payed for the sneakers?

8 boys

Step-by-step explanation:

Given

Let

The initial number of boys

Amount paid by each

Required

Number of boys that paid

After four boys left, the amount paid by each is:

Before the four boys left, the amount each would have paid is:

i.e. $8 less

Make A the subject

Equate both expressions

This gives:

Take LCM

Cross multiply

Open brackets

Subtract 192n from both sides

Rearrange

Divide through by 8

Expand

Factorize

Factor out n + 8

Split

or

Solve for n

or

n cannot be negative

So:

The number of boys that stayed and paid are:

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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