PSLETina and Dana went shopping together with a total amount of $137.40. Tina spent 2 times as much as Dana. The amount Dana had left was $34 more than what she had spent. She had 2 times as much money left as Tina.
(a) How much money did Dana spend?
(b) How much money did Tina have at first?
|
Tina |
Dana |
Total |
Before |
2.5 u + 17 |
2 u + 34 |
137.40 |
Change |
- 2 u |
- 1 u |
|
After |
0.5 u + 17 |
1 u + 34 |
|
(a)
Total amount that Tina and Dana had at first
= (2.5 u + 17) + (2 u + 34)
= 2.5 u + 2 u + 17 + 34
= 4.5 u + 51
4.5 u + 51 = 137.4
4.5 u = 137.4 - 51
4.5 u = 86.4
1 u = 86.4 ÷ 4.5 = 19.2
Amount that Dana had at first
= 1 u
= $19.20
(b)
Amount that Tina had at first
= 2.5 u + 17
= (2.5 x 19.2) + 17
= 48 + 17
= $65
Answer(s): (a) $19.20; (b) $65