Three types of curry powder, V, W and X come in containers of 100 g, 150 g and 300 g respectively. Containers of V, W and X are mixed together in the ratio 1 : 3 : 5 to obtain 24.6 kg of an assortment of curry powder.
- How many containers of V and W are used altogether?
- Find the difference between the combined weight of all the curry powder in containers W and containers X as compared to the curry powder in containers V. Express the weight in kilograms.
|
V |
W |
X |
Number |
1 u |
3 u |
5 u |
Value |
100 |
150 |
300 |
Total value |
100 u |
450 u |
1500 u |
(a)
Total mass of curry powder
= 100 u + 450 u + 1500 u
= 2050 u
2050 u = 24600
1 u = 24600 ÷ 2050 = 12
Total number of containers of V and W used
= 1 u + 3 u
= 4 u
= 4 x 12
= 48
(b)
Combined weight of all the curry powder in containers W and containers X
= 450 u + 1500 u
= 1950 u
Difference between the combined weight of all the curry powder in containers W and containers X as compared to the curry powder in containers V
= 1950 u - 100 u
= 1850 u
= 1850 x 12
= 22200 g
= 22.2 kg
Answer(s): (a) 48; (b) 22.2 kg