Erika has 6 times as many wafers as Abi. The total number of Erika's and Abi's wafers is 2 times of Rachel's. Erika and Abi have 28 wafers more than Rachel's. How many more wafers does Erika have than Abi?
Erika |
Abi |
Rachel |
6x2 |
1x2 |
|
2x7 |
1x7 |
12 u |
2 u |
7 u |
The total number of wafers that Erika and Abi have is repeated. Make the total number of wafers that Erika and Abi have the same. LCM of 7 and 2 is 14.
Total number of wafers that Erika and Abi have
= 12 u + 2 u
= 14 u
Number of more wafers that Erika and Abi have than Rachel
= 14 u - 7 u
= 7 u
7 u = 28
1 u = 28 ÷ 7 = 4
Number of more wafers that Erika has than Abi
= 12 u - 2 u
= 10 u
= 10 x 4
= 40
Answer(s): 40