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

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

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation: