Paul had some bags of chocolate bars and some packets of mini cupcakes. Each bag contained 6 chocolate bars and each packet contained 8 mini cupcakes. The total number of bags of chocolate bars and packets of mini cupcakes that he had was 30. He had 44 less chocolate bars than mini cupcakes. How many bags of chocolate bars did Paul have?
Number of packets of mini cupcakes |
Number of mini cupcakes |
Number of bags of chocolate bars |
Number of chocolate bars |
Less chocolate bars than mini cupcakes |
30
|
30 x 8 = 240 |
0
|
0 x 6 = 0 |
240 - 0 = 240 |
29
|
29 x 8 = 232 |
1
|
1 x 6 = 6 |
232 - 6 = 226 |
16
|
16 x 8 = 128 |
14
|
14 x 6 = 84 |
128 - 84 = 44 |
Total number of packets of mini cupcakes if all are mini cupcakes
= 30 x 8
= 240
Big difference between the total number of mini cupcakes and chocolate bars
= 240 - 44
= 196
Small difference between the number of mini cupcakes in one packet and the number of chocolate bars in one bag
= 240 - 226
= 14
Number of bags of chocolate bars
= 196 ÷ 14
= 14
Answer(s): 14