Elyse had 80% as many chocolate bars as Diana. Elyse gave away 10% of her chocolate bars and Diana bought another 60 chocolate bars. As a result, Elyse now has 60% as many chocolate bars as Diana. Find the number of chocolate bars that Diana had at first.
| |
Elyse |
Diana |
| Before |
4x3 |
5x3 |
| Change |
- 0.4x3 |
+ 60 |
| After |
3.6x3 |
5x3 + 60 |
Comparing Elyse and
Diana in the end |
3x3.6 |
5x3.6 |
| |
Elyse |
Diana |
| Before |
12 u |
15 u |
| Change |
- 1.2 u |
+ 60 |
After
|
10.8 u
|
15 u + 60 =
18 u |
80% =
80100 =
4510% x 4
=
10100 x 4
= 0.4
60% =
60100 =
35The number of chocolate bars that Elyse had in the end is repeated.
Make the number of chocolate bars that Elyse had in the end the same.
The number of chocolate bars that Diana had in the end is repeated.
15 u + 60 = 18 u
18 u - 15 u = 60
3 u = 60
1 u = 60 ÷ 3 = 20
Number of chocolate bars that Diana had at first
= 15 u
= 15 x 20
= 300
Answer: 300
