Natalie has 5 times as many cookies as Usha. The total number of Natalie's and Usha's cookies is 8 times of Mary's. Natalie and Usha have 42 cookies more than Mary's. How many more cookies does Natalie have than Usha?
| Natalie |
Usha |
Mary |
| 5x4 |
1x4 |
|
| 8x3 |
1x3 |
| 20 u |
4 u |
3 u |
The total number of cookies that Natalie and Usha have is repeated. Make the total number of cookies that Natalie and Usha have the same. LCM of 6 and 8 is 24.
Total number of cookies that Natalie and Usha have
= 20 u + 4 u
= 24 u
Number of more cookies that Natalie and Usha have than Mary
= 24 u - 3 u
= 21 u
21 u = 42
1 u = 42 ÷ 21 = 2
Number of more cookies that Natalie has than Usha
= 20 u - 4 u
= 16 u
= 16 x 2
= 32
Answer(s): 32
