5 days ago, Jade had a total of 120 white and purple coins. 40% of her coins were purple coins. Today, her father gave her some more coins. As a result, her white coins increased by 25%. Now, 50% of her coins are purple coins. How many purple coins did her father give her?
| |
Purple coins |
White 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
white coins and
purple coins in the end |
1 |
1 |
|
40% =
40100 =
25 Purple coins : White coins = 2 : 3
Increase in the number of white coins
= 25% x 3 u
=
25100 x 3 u
= 0.75 u
50% =
50100 =
12 In the end
Purple coins : White coins = 1 : 1
Number of coins at first
= 3 u + 2 u
= 5 u
5 u = 120
1 u = 120 ÷ 5 = 24
Number of purple coins that Jade received from her father
= 3.75 u - 2 u
= 1.75 u
= 1.75 x 24
= 42
Answer(s): 42
