Gabriel and David had $270 altogether. After Gabriel spent
16 of his money and David spent
23 of his money, Gabriel was left with twice as much money as David. How much money did David have at first?
| |
Gabriel |
David |
Total |
| Before |
6x2 =
12 u |
3x5 =
15 u |
$270 |
| Change |
- 1x2 =
- 2 u |
- 2x5 =
- 10 u |
|
| After |
5x2 =
10 u |
1x5 =
5 u |
|
Comparing Gabriel
and David in the end |
2x5 =
10 u |
1x5 =
5 u |
|
The amount that Gabriel had in the end is repeated. Make the amount that Gabriel had in the end the same. LCM of 5 and 2 is 10.
Total amount that Gabriel and David had at first
= 12 u + 15 u
= 27 u
27 u = 270
1 u = 270 ÷ 27 = 10
Amount that David had at first
= 15 u
= 15 x 10
= $150
Answer(s): $150
