Flynn owned two shops selling lighting. Shop T earned 50% more money than Shop U on Thursday. On Friday, Shop T lost $222 while Shop U earned another $160. In the end, Shop T contributed to 512 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)x7 = (3) |
T
(1) |
U
(2) |
Make p the same
(2)x5 = (4) |
| Before |
21 u |
3 u |
2 u |
10 u |
| Change |
- 1554 |
- 222 |
+ 160 |
+ 800 |
| After |
35 p |
5 p |
7 p |
35 p |
Amount that Flynn earned from Shop U on Thursday in percentage = 100%
Amount that Flynn earned from Shop T on Thursday in percentage
= 100% + 50%
= 150%
150% =
150100 =
32 Fraction of the total earnings that Flynn earned from Shop U
= 1 -
512 =
712(3) = (4)
21 u - 1554 = 10 u + 800
21 u - 10 u = 1554 + 800
11 u = 2354
1 u = 2354 ÷ 11 = 214
Amount that Flynn earned from Shop T over the two days
= 3 u - 222
= 3 x 214 - 222
= 642 - 222
= $420
Answer(s): $420
