Luke owned two shops selling souvenirs. Shop T earned 40% more money than Shop U on Saturday. On Sunday, Shop T lost $290 while Shop U earned another $398. In the end, Shop T contributed to 59 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)x4 = (3) |
Shop T
(1) |
Shop U
(2) |
Make p the same
(2)x5 = (4) |
| Before |
28 u |
7 u |
5 u |
25 u |
| Change |
- 1160 |
- 290 |
+ 398 |
+ 1990 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Luke earned from Shop U on Saturday in percentage = 100%
Amount that Luke earned from Shop T on Saturday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Luke earned from Shop U
= 1 -
59 =
49(3) = (4)
28 u - 1160 = 25 u + 1990
28 u - 25 u = 1160 + 1990
3 u = 3150
1 u = 3150 ÷ 3 = 1050
Amount that Luke earned from Shop T over the two days
= 7 u - 290
= 7 x 1050 - 290
= 7350 - 290
= $7060
Answer(s): $7060
