Lee bought 4 times as many caramel bars as candy bars. The total mass of caramel bars and candy bars was 1170 g. The mass of candy bars was 190 g less than that of the caramel bars. The mass of 1 candy bar was 64 g heavier than 1 caramel bar.
- Find the number of candy bars that Lee bought.
- Find the mass of 1 caramel bar.
|
Caramel Bars |
Candy Bars |
Total |
Number of sets |
4 sets |
1 set |
|
Compare each |
1 u |
1 u + 64 |
|
Total value |
680 g |
490 g |
1170 g |
(a)
Mass of candy bars = 1 set
Mass of caramel bars = 4 sets
Mass of candy bars = (1170 - 190) ÷ 2 = 490 g
Mass of caramel bars = 490 + 190 = 680 g
Mass of 1 set of candy bars = 490 g
Mass of 1 set of caramel bars = 680 ÷ 4 = 170 g
Difference in the mass between 1 set of candy bars and 1 set of caramel bars
= 490 - 170
= 320 g
Number of items in each set
= 320 ÷ 64
= 5
Number of candy bars
= 1 x 5
= 5
(b)
Mass of 1 candy bar
= 490 ÷ 5
= 98 g
Mass of 1 caramel bar
= 98 - 64
= 34 g
Answer(s): (a) 5; (b) 34 g