Jade and Olivia collected coins. Jade gave 40% of her coins to Olivia. As a result, Olivia's coins increased by 60%. If Jade had 54 coins left, find the total number of coins the two girls had at first.
| |
Jade |
Olivia |
Comparing the change
in Olivia's coins |
| Before |
5x3 =
15 u |
|
5x2 =
10 u |
| Change |
- 2x3 =
- 6 u |
+ 2x3 =
+ 6 u |
+ 3x2 =
+ 6 u |
| After |
3x3 =
9 u |
|
8x2 =
16 u |
40% =
40100 =
25 60% =
60100 =
35 The number of coins that Jade gave to Olivia is repeated. Make the number of coins that Jade gave to Olivia the same. LCM of 2 and 3 is 6.
Number of coins that Jade had in the end = 9 u
9 u = 54
1 u = 54 ÷ 9 = 6
Number of coins that Jade and Olivia had at first
= 15 u + 10 u
= 25 u
= 25 x 6
= 150
Answer(s): 150
