Jade had $350 less than Justin. Justin spent 0.8 of his money and Jade spent 0.4 of her money. In the end, Justin and Jade had the same amount of money left. Find the amount of money Jade had at first.
| |
Jade |
Justin |
Difference |
| Before |
5 u |
15 u |
10 u |
| Change |
- 1 u |
- 3 u |
|
| After |
3 u |
3 u |
|
0.8 =
45 Fraction of Justin's amount left
= 1 -
45 =
15 0.4 =
25 Fraction of Jade's amount left
= 1 -
25 =
35 The amount that Justin and Jade each had in the end is the same. Make the numerators the same. LCM of 1 and 3 is 3.
15 of Justin's amount =
35 of Jade's amount
315 of Justin's amount =
35 of Jade's amount
Amount that Jade had less than Justin
= 15 u - 5 u
= 10 u
10 u = 350
1 u = 350 ÷ 10 = 35
Amount that Jade had at first
= 5 u
= 5 x 35
= $175
Answer(s): $175
