Abi had $355 less than Tom. Tom spent 0.6 of his money and Abi spent 0.2 of her money. In the end, Tom and Abi had the same amount of money left. Find the amount of money Abi had at first.
| |
Abi |
Tom |
Difference |
| Before |
5 u |
10 u |
5 u |
| Change |
- 2 u |
- 4 u |
|
| After |
4 u |
4 u |
|
0.6 =
35 Fraction of Tom's amount left
= 1 -
35 =
25 0.2 =
15 Fraction of Abi's amount left
= 1 -
15 =
45 The amount that Tom and Abi each had in the end is the same. Make the numerators the same. LCM of 2 and 4 is 4.
25 of Tom's amount =
45 of Abi's amount
410 of Tom's amount =
45 of Abi's amount
Amount that Abi had less than Tom
= 10 u - 5 u
= 5 u
5 u = 355
1 u = 355 ÷ 5 = 71
Amount that Abi had at first
= 5 u
= 5 x 71
= $355
Answer(s): $355
