Howard owned two shops selling souvenirs. Shop T earned 40% more money than Shop U on Monday. On Tuesday, Shop T lost $482 while Shop U earned another $311. 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 |
- 1928 |
- 482 |
+ 311 |
+ 1555 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Howard earned from Shop U on Monday in percentage = 100%
Amount that Howard earned from Shop T on Monday in percentage
= 100% + 40%
= 140%
140% =
140100 =
75 Fraction of the total earnings that Howard earned from Shop U
= 1 -
59 =
49(3) = (4)
28 u - 1928 = 25 u + 1555
28 u - 25 u = 1928 + 1555
3 u = 3483
1 u = 3483 ÷ 3 = 1161
Amount that Howard earned from Shop T over the two days
= 7 u - 482
= 7 x 1161 - 482
= 8127 - 482
= $7645
Answer(s): $7645
