Ryan and Tommy had $1280 altogether. After Ryan spent
16 of his money and Tommy spent
78 of his money, Ryan was left with four times as much money as Tommy. How much money did Tommy have at first?
| |
Ryan |
Tommy |
Total |
| Before |
6x4 =
24 u |
8x5 =
40 u |
$1280 |
| Change |
- 1x4 =
- 4 u |
- 7x5 =
- 35 u |
|
| After |
5x4 =
20 u |
1x5 =
5 u |
|
Comparing Ryan
and Tommy in the end |
4x5 =
20 u |
1x5 =
5 u |
|
The amount that Ryan had in the end is repeated. Make the amount that Ryan had in the end the same. LCM of 5 and 4 is 20.
Total amount that Ryan and Tommy had at first
= 24 u + 40 u
= 64 u
64 u = 1280
1 u = 1280 ÷ 64 = 20
Amount that Tommy had at first
= 40 u
= 40 x 20
= $800
Answer(s): $800
