Question

donovan. and three friends go to a fair they each spend 1/2 of their money on rides. then, they each spend $3 on food. at the end of the day, donovan and his friends have a total of $8 remaining how much money did each person spend

Answer 1

Answer:

Each person spent $10.

Step-by-step explanation:

Let the money spent by each friend = $x

Number of persons including Donovan = 4

Total amount spent by all friends all together = $4x

Since each spent half of their money on rides so amount spent on rides = $\frac{4x}{2}$ = $2x

Then they each spent $3 on food so total money spent = $(2x + 12)

Remaining money = $8

Now the equation will be

$4x - $(2x + 12) = $8

4x - 2x - 12 = 8

2x - 12 = 8

2x = 12 + 8

x = $10

Therefore, each friend spent $10.

Answer 2

We want to see how much money each person spends.

We will see that each person spent $8 on the fair.

We can assume that Donovan and the 3 friends have the same amount of money M.

Donovan and 3 friends go to a fair, and each spends 1/2 of their money on rides.

At this point each one of them has:

M - M/2 = M/2

Then each of them spends $3 on food.

At this point each one of them has:

M/2 - $3

At the end of the day, together they have a total of $8.

And we have 4 friends and we know how much each one of them has, then we can write:

4*(M/2 - $3) = $8.

Now we can solve this for M.

M/2 - $3 = $8/4 = $2

M/2 = $2 + $3 = $5

M = 2*$5 = $10

So now we know that each one started with $10.

First, they spend half of that, $5, on rides, and then $3 on food.

So each one of them spent $5 + $3 = $8.

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