Divide 380 among A, B and C in such a way that B gets 30 more than A and C gets 20 more than B.

A = 100 B = 130 C = 150

Step-by-step explanation:

Translated into a system of equations:

A+B+C = 380

B = A+30

C = B + 20

So we find B from the last one:

B = C-20

Plug it in the second one:

C-20 = A+30

A = C-50

Plug it in the first:

C-50 + C-20 + C = 380

3C - 70 = 380

3C = 450

C=150

A = C - 50 = 150 - 50 = 100

B = C - 20 = 150 - 20 = 130

A will have=100 , B will have=100+30=130  and C will have=100+30+20=150

3: 2

step-by-step explanation:

shorter piece is 2: 3, so just reverse it, and you get 3: 2

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls