3 days ago, Sabrina had a total of 250 red and purple coins. 40% of her coins were purple coins. Today, her mother gave her some more coins. As a result, her red coins increased by 10%. Now, 50% of her coins are purple coins. How many purple coins did her mother give her?
| |
Purple coins |
Red coins |
Total
coins |
| Before |
2 u |
3 u |
250 |
| Change |
+ 1.3 u |
+ 0.3 u |
|
| After |
3.3 u |
3.3 u |
|
Comparing the
red coins and
purple coins in the end |
1 |
1 |
|
40% =
40100 =
25 Purple coins : Red coins = 2 : 3
Increase in the number of red coins
= 10% x 3 u
=
10100 x 3 u
= 0.3 u
50% =
50100 =
12 In the end
Purple coins : Red coins = 1 : 1
Number of coins at first
= 3 u + 2 u
= 5 u
5 u = 250
1 u = 250 ÷ 5 = 50
Number of purple coins that Sabrina received from her mother
= 3.3 u - 2 u
= 1.3 u
= 1.3 x 50
= 65
Answer(s): 65
