The number of grapefruits Ian bought in July was 10% more than in June. In August, he bought 75% less grapefruits than in July. If there were 319 more grapefruits in June than August, how many grapefruits did Ian buy in June?
| June |
July |
August |
| 10x4 |
11x4 |
|
| |
4x11 |
1x11 |
| 40 u |
44 u |
11 u |
100% + 10 = 110%
110% =
110100 =
1110July : June = 11 : 10
100% - 75% = 25%
25% =
25100 =
14 August : July = 1 : 4
The number of grapefruits in July is repeated. Make the number of grapefruits in July is the same. LCM of 11 and 4 is 44.
Number of more grapefruits in June than August
= 40 u - 11 u
= 29 u
29 u = 319
1 u = 319 ÷ 29 = 11
Number of grapefruits that Ian bought in June
= 40 u
= 40 x 11
= 440
Answer(s): 440
