Sam had some bags of lollipops and some packets of mini cupcakes. Each bag contained 4 lollipops and each packet contained 6 mini cupcakes. The total number of bags of lollipops and packets of mini cupcakes that he had was 35. He had 115 more mini cupcakes than lollipops. How many bags of lollipops did Sam have?
Number of packets
of mini cupcakes |
Number of
mini cupcakes |
Number of bags
of lollipops |
Number of
lollipops |
More mini cupcakes
than lollipops |
35
|
35 x 6 =
210 |
0
|
0 x 4 =
0 |
210 - 0 =
210 |
34
|
34 x 6 =
204 |
1
|
1 x 4 =
4 |
204 - 4 =
200 |
25.5
|
25.5 x 6 =
153 |
9.5
|
9.5 x 4 =
38 |
153 - 38 =
115 |
Total number of packets of mini cupcakes if all are mini cupcakes
= 35 x 6
= 210
Big difference between the total number of mini cupcakes and lollipops
= 210 - 115
= 95
Small difference between the number of mini cupcakes in one packet and the number of lollipops in one bag
= 210 - 200
= 10
Number of bags of lollipops
= 95 ÷ 10
= 9.5
Answer(s): 9.5
