2017 AMC 10B Problem 5

Problem 5 of 25EasierAlgebra

Camilla had twice as many blueberry jelly beans as cherry jelly beans. After eating

10

pieces of each kind, she now has three times as many blueberry jelly beans as cherry jelly beans. How many blueberry jelly beans did she originally have?

Show solution

Solution

Let the number of cherry jelly beans be

c

and let the number of blueberry jelly beans be

b.

Then, we know

b = 2c

b-10=3(c-10)

from the first and second statements respectively. Therefore,

2c-10 = 3c-30

c=20.

This means that

b = 2\cdot 20=40.

Thus, the correct answer is D .

Answer choices

Solution

More practice