Japheth owned two shops selling mobile phones. Shop R earned 20% more money than Shop S on Tuesday. On Wednesday, Shop R lost $216 while Shop S earned another $128. In the end, Shop R contributed to 211 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)x9 = (3) |
R
(1) |
S
(2) |
Make p the same
(2)x2 = (4) |
| Before |
54 u |
6 u |
5 u |
10 u |
| Change |
- 1944 |
- 216 |
+ 128 |
+ 256 |
| After |
18 p |
2 p |
9 p |
18 p |
Amount that Japheth earned from Shop S on Tuesday in percentage = 100%
Amount that Japheth earned from Shop R on Tuesday in percentage
= 100% + 20%
= 120%
120% =
120100 =
65 Fraction of the total earnings that Japheth earned from Shop S
= 1 -
211 =
911(3) = (4)
54 u - 1944 = 10 u + 256
54 u - 10 u = 1944 + 256
44 u = 2200
1 u = 2200 ÷ 44 = 50
Amount that Japheth earned from Shop R over the two days
= 6 u - 216
= 6 x 50 - 216
= 300 - 216
= $84
Answer(s): $84
