A box of 120 crayons contains variations of three

colors: blue, red, and purple. The ratio of blue

crayons to red crayons is 11:2, and the ratio of the

number of red crayons to purple crayons is 2:7. If

all of the purple crayons were removed, how many

crayons would be left in the box?

E. 16

F. 42

G. 78

H. 113

Question

Avery Conway

Mathematics

27 February, 07:12

A box of 120 crayons contains variations of three

colors: blue, red, and purple. The ratio of blue

crayons to red crayons is 11:2, and the ratio of the

number of red crayons to purple crayons is 2:7. If

all of the purple crayons were removed, how many

crayons would be left in the box?

E. 16

F. 42

G. 78

H. 113

+5

Answers (1)

Know the Answer?

Finley Weaver · Answer 1

G. 78

Step-by-step explanation:

Blue to red=11:2

Red to purple=2:7

Total crayons = 120

Total ratio

=11+2+7

=20

Blue=11

Red=2

Purple=7

Purple crayons

=Ratio of purple / Total ratio * Total crayons

=7/20*120

=42

If all the purple crayons were removed

=Total crayons - purple crayons

=120-42

=78