Iwill award brainliest! 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?

together they have 60

Step-by-step explanation:

B= number of balloons billy has

A =adams balloons

 Adam had 30 less balloons than Billy

A = B-30  

After Billy gave 5 balloons to Adam, the number of Adam's balloons was half of the number of Billy's balloons.

1/2(B-5) = A+5

1/2 (B-5)-5 =A

set the two equations equal A = B-30    equal to  1/2(B-5)-5 = A

B-30 =  1/2(B-5)-5

add 5 to each side

B-30 + 5 = 1/2 (B-5)

B - 25 = 1/2 ( B-5)

multiply by 2

2(B-25) = 2* 1/2 (B-5)

distribute

2B-50 = B-5

subtract B

2B-50 -B =B-B -5

B-50 = -5

add 50

B-50+50 = -5+50

B = 45

Now we need to find out A

A = B-30

A = 45-30

A = 15

Billy has 45

Adam has 15

together they have 45+15

together they have 60