The number of grapefruits Zeph bought in February was 40% more than in January. In March, he bought 75% less grapefruits than in February. If there were 65 more grapefruits in January than March, how many grapefruits did Zeph buy in January?
| January |
February |
March |
| 5x4 |
7x4 |
|
| |
4x7 |
1x7 |
| 20 u |
28 u |
7 u |
100% + 40 = 140%
140% =
140100 =
75February : January = 7 : 5
100% - 75% = 25%
25% =
25100 =
14 March : February = 1 : 4
The number of grapefruits in February is repeated. Make the number of grapefruits in February is the same. LCM of 7 and 4 is 28.
Number of more grapefruits in January than March
= 20 u - 7 u
= 13 u
13 u = 65
1 u = 65 ÷ 13 = 5
Number of grapefruits that Zeph bought in January
= 20 u
= 20 x 5
= 100
Answer(s): 100
