Yen has 2 times as many shortbreads as Vanessa. The total number of Yen's and Vanessa's shortbreads is 5 times of Hazel's. Yen and Vanessa have 24 shortbreads more than Hazel's. How many less shortbreads does Hazel have than Yen?
| Yen |
Vanessa |
Hazel |
| 2x5 |
1x5 |
|
| 5x3 |
1x3 |
| 10 u |
5 u |
3 u |
The total number of shortbreads that Yen and Vanessa have is repeated. Make the total number of shortbreads that Yen and Vanessa have the same. LCM of 3 and 5 is 15.
Total number of shortbreads that Yen and Vanessa have
= 10 u + 5 u
= 15 u
Number of more shortbreads that Yen and Vanessa have than Hazel
= 15 u - 3 u
= 12 u
12 u = 24
1 u = 24 ÷ 12 = 2
Number of less shortbreads that Hazel has than Yen
= 10 u - 3 u
= 7 u
= 7 x 2
= 14
Answer(s): 14
