Three types of curry powder, B, C and D come in containers of 80 g, 120 g and 160 g respectively. Containers of B, C and D are mixed together in the ratio 3 : 6 : 7 to obtain 14.56 kg of an assortment of curry powder.
- How many containers of B and C are used altogether?
- Find the difference between the combined weight of all the curry powder in containers C and containers D as compared to the curry powder in containers B. Express the weight in kilograms.
|
B |
C |
D |
Number |
3 u |
6 u |
7 u |
Value |
80 |
120 |
160 |
Total value |
240 u |
720 u |
1120 u |
(a)
Total mass of curry powder
= 240 u + 720 u + 1120 u
= 2080 u
2080 u = 14560
1 u = 14560 ÷ 2080 = 7
Total number of containers of B and C used
= 3 u + 6 u
= 9 u
= 9 x 7
= 63
(b)
Combined weight of all the curry powder in containers C and containers D
= 720 u + 1120 u
= 1840 u
Difference between the combined weight of all the curry powder in containers C and containers D as compared to the curry powder in containers B
= 1840 u - 240 u
= 1600 u
= 1600 x 7
= 11200 g
= 11.2 kg
Answer(s): (a) 63; (b) 11.2 kg