Please I need this ASAP 15 points

The two bowling alleys cost the same when there are 10 people in the group.

Step-by-step explanation:

Bustlin' Bowling first:

$35 base price and then $2 for each person. You can model that with b = 35 + 2x where b is the price and x is the guest number.

Grand Entertainment next:

$20 base price and then $3.50 for each person. You can model that with g = 20 + 3.5x where g is the price and x is the guest number.

So the question asks for the number of people (or what's x) that makes the cost of both bowling places equal.

In variables, it's asking when b = g, what is x?

Starting with b = g, we can replace those with the actual equations. If b = 35 + 2x and g = 20 + 3.5x, then b = g is the same as 35 + 2x = 20 + 3.5x.

I think you know how to solve that (because the trickiest part is usually translating the words into a solvable equation) but in case you don't, here's how:

35 + 2x = 20 + 3.5x

Subtract 2x from both sides.

35 = 20 + 3.5x - 2x

35 = 20 + 1.5x

Subtract 20 from both sides.

35 - 20 = 1.5x

15 = 1.5x

Divide both sides by 1.5.

15/1.5 = 1.5x/1.5

10 = x

Sooo, the answer is 10 people.

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