Mark owned two shops selling stationery. Shop T earned 20% more money than Shop U on Friday. On Saturday, Shop T lost $256 while Shop U earned another $304. 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 |
18 u |
6 u |
5 u |
10 u |
| Change |
- 768 |
- 256 |
+ 304 |
+ 608 |
| After |
6 p |
2 p |
3 p |
6 p |
Amount that Mark earned from Shop U on Friday in percentage = 100%
Amount that Mark earned from Shop T on Friday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Mark earned from Shop U
= 1 -
25 =
35(3) = (4)
18 u - 768 = 10 u + 608
18 u - 10 u = 768 + 608
8 u = 1376
1 u = 1376 ÷ 8 = 172
Amount that Mark earned from Shop T over the two days
= 6 u - 256
= 6 x 172 - 256
= 1032 - 256
= $776
Answer(s): $776
