Abi had $455 less than John. John spent 0.6 of his money and Abi spent 0.2 of her money. In the end, John and Abi had the same amount of money left. Find the amount of money Abi had at first.
| |
Abi |
John |
Difference |
| Before |
5 u |
10 u |
5 u |
| Change |
- 2 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.6 =
35 Fraction of John's amount left
= 1 -
35 =
25 0.2 =
15 Fraction of Abi's amount left
= 1 -
15 =
45 The amount that John and Abi each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.
25 of John's amount =
45 of Abi's amount
410 of John's amount =
45 of Abi's amount
Amount that Abi had less than John
= 10 u - 5 u
= 5 u
5 u = 455
1 u = 455 ÷ 5 = 91
Amount that Abi had at first
= 5 u
= 5 x 91
= $455
Answer(s): $455
