Three types of curry powder, U, V and W come in containers of 80 g, 200 g and 280 g respectively. Containers of U, V and W are mixed together in the ratio 1 : 3 : 4 to obtain 19.8 kg of an assortment of curry powder.
- How many containers of U and V are used altogether?
- Find the difference between the combined weight of all the curry powder in containers V and containers W as compared to the curry powder in containers U. Express the weight in kilograms.
|
U |
V |
W |
Number |
1 u |
3 u |
4 u |
Value |
80 |
200 |
280 |
Total value |
80 u |
600 u |
1120 u |
(a)
Total mass of curry powder
= 80 u + 600 u + 1120 u
= 1800 u
1800 u = 19800
1 u = 19800 ÷ 1800 = 11
Total number of containers of U and V used
= 1 u + 3 u
= 4 u
= 4 x 11
= 44
(b)
Combined weight of all the curry powder in containers V and containers W
= 600 u + 1120 u
= 1720 u
Difference between the combined weight of all the curry powder in containers V and containers W as compared to the curry powder in containers U
= 1720 u - 80 u
= 1640 u
= 1640 x 11
= 18040 g
= 18.04 kg
Answer(s): (a) 44; (b) 18.04 kg