Gabriel owned two shops selling toys. Shop T earned 50% more money than Shop U on Tuesday. On Wednesday, Shop T lost $290 while Shop U earned another $220. In the end, Shop T contributed to 25 of the total earnings of the two shops over the two days operation. How much did Shop T earn over the two days?
| |
Make p the same
(1)x3 = (3) |
T
(1) |
U
(2) |
Make p the same
(2)x2 = (4) |
| Before |
9 u |
3 u |
2 u |
4 u |
| Change |
- 870 |
- 290 |
+ 220 |
+ 440 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Gabriel earned from Shop U on Tuesday in percentage = 100%
Amount that Gabriel earned from Shop T on Tuesday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Gabriel earned from Shop U
= 1 -
25 =
35(3) = (4)
9 u - 870 = 4 u + 440
9 u - 4 u = 870 + 440
5 u = 1310
1 u = 1310 ÷ 5 = 262
Amount that Gabriel earned from Shop T over the two days
= 3 u - 290
= 3 x 262 - 290
= 786 - 290
= $496
Answer(s): $496
