Question

Adam had 30 less balloons than Billy had. After Billy gave 5 balloons to Adam, the number of Adam's balloons was half of the number of Billy's balloons. What was the number of balloons they have together?

Answer 1

Number of balloon they had together was 60 balloons

Step-by-step explanation:

Assume the original number of balloons Billy had was x

We know that, initially, Adam had 30 less balloons than Billy. This means that:

original number of balloons Adam had was x-30

The scenario goes as follows:

i. Billy gave 5 balloons to Adam

Number of balloons Billy has = x - 5

Number of balloons Adam has = (x-30) + 5 = x - 25

ii. When Billy gave Adam the 5 balloons, number of Adam's balloons became half the number of Billy's balloons. This means that:

Number of balloons Adam has = 0.5 * number of balloons Billy has

x - 25 = 0.5 * (x-5)

2(x-25) = x - 5

2x - 50 = x - 5

2x - x = -5 + 50

x = 45

This means that:

Initially, number of balloons Billy had = x = 45 balloons

Initially, number of balloons Adam had = x - 30 = 45 - 30 = 15 balloons

Number of balloons they have together = 45 + 15 = 60 balloons

Hope this helps :)

Answer 2

60 balloons is the answer.

Step-by-step explanation:

Let Adam have x balloons. Then

Billy has 30 more than Adam = x+30

Next part:

Billy gave 5 balloons to Adam. Now Billy got 5 less and Adam 5 more

New would be Adam = x+5 and Billy = x+30-5 = x+25

Given that now Adam is having 1/2 as that of Billy

Or x+25 = 2(x+5)

simplify to get

x+25 = 2x+10

x = 25-10 = 15

Hence Adam had 15 balloons originally and Billy 45 balloons.

Together they had 60 balloons.