Sam owned two shops selling eyewear. Shop R earned 30% more money than Shop S on Monday. On Tuesday, Shop R lost $334 while Shop S earned another $250. In the end, Shop R contributed to 59 of the total earnings of the two shops over the two days operation. How much did Shop R earn over the two days?
| |
Make p the same
(1)x4 = (3) |
Shop R
(1) |
Shop S
(2) |
Make p the same
(2)x5 = (4) |
| Before |
52 u |
13 u |
10 u |
50 u |
| Change |
- 1336 |
- 334 |
+ 250 |
+ 1250 |
| After |
20 p |
5 p |
4 p |
20 p |
Amount that Sam earned from Shop S on Monday in percentage = 100%
Amount that Sam earned from Shop R on Monday in percentage
= 100% + 30%
= 130%
130% =
130100 =
1310 Fraction of the total earnings that Sam earned from Shop S
= 1 -
59 =
49(3) = (4)
52 u - 1336 = 50 u + 1250
52 u - 50 u = 1336 + 1250
2 u = 2586
1 u = 2586 ÷ 2 = 1293
Amount that Sam earned from Shop R over the two days
= 13 u - 334
= 13 x 1293 - 334
= 16809 - 334
= $16475
Answer(s): $16475
