Question

The 42 students on the conservation trip picked up trash at the beach. The girls picked up 15 pounds each and the boys picked up 12 pounds each for a total of 576 pounds. Use b and g for each of the equations.

Answer 1

Answer: number of boys = 18

Number of girls = 24

Explanation:

Based on the information given, we can form this into an equation which will be:

b + g = 42 ....... i

12b + 15g = 576 ...... ii

Multiply equation i by 12

Multiply equation ii by 1

12b + 12g = 504 ....... iii

12b + 15g = 576 ........ iv

Subtract iii from iv

3g = 72

g = 72/3

g = 24

Since b + g = 42

b + 24 = 42

b = 42 - 24.

b = 18

Therefore, number of boys = 18

Number of girls = 24