Gem and Zoe had an equal number of coins at first. Gem used
14 of her coins and Zoe used
17 of her coins. They used 55 coins altogether. How many coins did Zoe have in the end?
|
Gem |
Zoe |
Before |
4x7 = 28 u |
7x4 = 28 u |
Change |
- 1x7 = - 7 u |
- 1x4 = - 4 u |
After |
3x7 = 21 u |
6x4 = 24 u |
The number of coins that Gem and Zoe each had at first is the same. Make the number of coins that Gem and Zoe each had at first the same. LCM of 4 and 7 is 28.
Number of coins that Gem and Zoe used
= 7 u + 4 u
= 11 u
11 u = 55
1 u = 55 ÷ 11 = 5
Number of coins that Zoe had in the end
= 24 u
= 24 x 5
= 120
Answer(s): 120