8 days ago, Xylia had a total of 120 yellow and pink coins. 40% of her coins were pink coins. Today, her cousin gave her some more coins. As a result, her yellow coins increased by 25%. Now, 50% of her coins are pink coins. How many pink coins did her cousin give her?
| |
Pink coins |
Yellow coins |
Total
coins |
| Before |
2 u |
3 u |
120 |
| Change |
+ 1.75 u |
+ 0.75 u |
|
| After |
3.75 u |
3.75 u |
|
Comparing the
yellow coins and
pink coins in the end |
1 |
1 |
|
40% =
40100 =
25 Pink coins : Yellow coins = 2 : 3
Increase in the number of yellow coins
= 25% x 3 u
=
25100 x 3 u
= 0.75 u
50% =
50100 =
12 In the end
Pink coins : Yellow coins = 1 : 1
Number of coins at first
= 3 u + 2 u
= 5 u
5 u = 120
1 u = 120 ÷ 5 = 24
Number of pink coins that Xylia received from her cousin
= 3.75 u - 2 u
= 1.75 u
= 1.75 x 24
= 42
Answer(s): 42
