Caden bought 4 times as many caramel bars as candy bars. The total mass of caramel bars and candy bars was 1757 g. The mass of candy bars was 427 g less than that of the caramel bars. The mass of 1 candy bar was 56 g heavier than 1 caramel bar.
- Find the number of caramel bars that Caden bought.
- Find the mass of 1 candy bar.
|
Caramel Bars |
Candy Bars |
Total |
Number of sets |
4 sets |
1 set |
|
Compare each |
1 u |
1 u + 56 |
|
Total value |
1092 g |
665 g |
1757 g |
(a)
Mass of candy bars = 1 set
Mass of caramel bars = 4 sets
Mass of candy bars = (1757 - 427) ÷ 2 = 665 g
Mass of caramel bars = 665 + 427 = 1092 g
Mass of 1 set of candy bars = 665 g
Mass of 1 set of caramel bars = 1092 ÷ 4 = 273 g
Difference in the mass between 1 set of candy bars and 1 set of caramel bars
= 665 - 273
= 392 g
Number of items in each set
= 392 ÷ 56
= 7
Number of caramel bars
= 4 x 7
= 28
(b)
Mass of 1 candy bar
= 665 ÷ 7
= 95 g
Answer(s): (a) 28; (b) 95 g