Olivia had 70% as many lollipops as Barbara. Olivia gave away 10% of her lollipops and Barbara bought another 15 lollipops. As a result, Olivia now has 60% as many lollipops as Barbara. Find the number of lollipops that Olivia had in the end.
| |
Olivia |
Barbara |
| Before |
7x3 |
10x3 |
| Change |
- 0.7x3 |
+ 15 |
| After |
6.3x3 |
10x3 + 15 |
Comparing Olivia and
Barbara in the end |
3x6.3 |
5x6.3 |
| |
Olivia |
Barbara |
| Before |
21 u |
30 u |
| Change |
- 2.1 u |
+ 15 |
After
|
18.9 u
|
30 u + 15 =
31.5 u |
70% =
70100 =
71010% x 7
=
10100 x 7
= 0.7
60% =
60100 =
35The number of lollipops that Olivia had in the end is repeated.
Make the number of lollipops that Olivia had in the end the same.
The number of lollipops that Barbara had in the end is repeated.
30 u + 15 = 31.5 u
31.5 u - 30 u = 15
1.5 u = 15
1 u = 15 ÷ 1.5 = 10
Number of lollipops that Olivia had in the end
= 18.9 u
= 18.9 x 10
= 189
Answer: 189
