Neave had some bags of mini cupcakes and some packets of lollipops. Each bag contained 4 mini cupcakes and each packet contained 6 lollipops. The total number of bags of mini cupcakes and packets of lollipops that he had was 35. He had 45 less mini cupcakes than lollipops. How many bags of mini cupcakes did Neave have?
Number of packets
of lollipops |
Number of
lollipops |
Number of bags
of mini cupcakes |
Number of
mini cupcakes |
Less 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 |
18.5
|
18.5 x 6 =
111 |
16.5
|
16.5 x 4 =
66 |
111 - 66 =
45 |
Total number of packets of lollipops if all are lollipops
= 35 x 6
= 210
Big difference between the total number of lollipops and mini cupcakes
= 210 - 45
= 165
Small difference between the number of lollipops in one packet and the number of mini cupcakes in one bag
= 210 - 200
= 10
Number of bags of mini cupcakes
= 165 ÷ 10
= 16.5
Answer(s): 16.5
