Question

Camilla has twice as many blueberry jelly beans as cherry jelly beans. After eating 10 pieces of each kind, she now haas three times as many blueberry jelly beans as cherry jelly beans. How many blueberry jelly beans did she originally have?

Answer 1

40 blueberry jelly beans

Explanation:

Let us represent blue berry beans = b

Cherry jelly beans = c

Camilla has twice as many blueberry jelly beans as cherry jelly beans.

Hence,

b = 2c .........Equation 1

After eating 10 pieces of each kind, she now has three times as many blueberry jelly beans as cherry jelly beans.

hence,

b - 10 = 3(c - 10)

b - 10 = 3c - 30

Collect like terms.

- 10 + 30 = 3c - b

20 = 3c - b .........Equation 2

Subtitute 2c for b in Equation 2

20 = 3c - 2c

20 = c

Hence, she had 20 cherry jelly beans.

In the question, we are asked to find how many blueberry jelly beans she had.

Hence,

b = 2c .........Equation 1

Substituting 20 for c in Equation 1

b = 2 × 20

b = 40

Therefore, she originally had 40 blueberry jelly beans