Answer:
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
