Question

Mr. Robinson has 20 students in his martial arts class. The ratio of boys to girls is 4:1. How many boys and girls are in Mr. Robinson's class?
a. 15 boys, 5 girls
b. 5 boys, 15 girls
c. 16 boys, 4 girls
d. 4 boys, 16 girls

Which of the following equations is an example of the distributive property?
a. (5)(3) = (3)(5)
b. 5+3 = 3+5 
c. (5)(1+2) = (5)(1) + (5)(2)
d. 15=15

Answer 1

1.4x+x=20
5x=20
x=4 there are 16 girls and 4 boys

2.c

Answer 2

1) Ratio - 4:1

thus, 4x + 1x = 20
5x = 20

thus, x = 20/5 = 4

thus, x = 4
and, 4x = 16

Thus, the answer is (C) 16 boys and 4 girls

2) According to distributivity, a(b+c) = ab + ac

Thus, the answer is (C)