Opal has 5 times as many cupcakes as Zara. The total number of Opal's and Zara's cupcakes is 5 times of Natalie's. Opal and Zara have 48 cupcakes more than Natalie's. How many less cupcakes does Natalie have than Opal?
| Opal |
Zara |
Natalie |
| 5x5 |
1x5 |
|
| 5x6 |
1x6 |
| 25 u |
5 u |
6 u |
The total number of cupcakes that Opal and Zara have is repeated. Make the total number of cupcakes that Opal and Zara have the same. LCM of 6 and 5 is 30.
Total number of cupcakes that Opal and Zara have
= 25 u + 5 u
= 30 u
Number of more cupcakes that Opal and Zara have than Natalie
= 30 u - 6 u
= 24 u
24 u = 48
1 u = 48 ÷ 24 = 2
Number of less cupcakes that Natalie has than Opal
= 25 u - 6 u
= 19 u
= 19 x 2
= 38
Answer(s): 38
