Roshel had 17 more macarons than Diana at first. After Roshel ate 5 macarons, she had five times as many macarons as Diana in the end. How many macarons did Diana have?
|
Diana |
Roshel |
Before |
1 u |
1 u + 17 |
Change |
|
- 5 |
After |
1 u |
1 u + 12 |
Comparing Diana and Roshel in the end |
1 u |
5 u |
The number of macarons that Diana had remains unchanged.
Number of macarons that Roshel had in the end
= 5 x 1 u
= 5 u
5 u = 1 u + 12
5 u - 1 u = 12
4 u = 12
1 u = 12 ÷ 4 = 3
Number of macarons that Diana had
= 1 u
= 3
Answer(s): 3