Three types of curry powder, G, H and J come in containers of 120 g, 160 g and 200 g respectively. Containers of G, H and J are mixed together in the ratio 2 : 3 : 5 to obtain 8.6 kg of an assortment of curry powder.
- How many containers of G and H are used altogether?
- Find the difference between the combined weight of all the curry powder in containers H and containers J as compared to the curry powder in containers G. Express the weight in kilograms.
|
G |
H |
J |
Number |
2 u |
3 u |
5 u |
Value |
120 |
160 |
200 |
Total value |
240 u |
480 u |
1000 u |
(a)
Total mass of curry powder
= 240 u + 480 u + 1000 u
= 1720 u
1720 u = 8600
1 u = 8600 ÷ 1720 = 5
Total number of containers of G and H used
= 2 u + 3 u
= 5 u
= 5 x 5
= 25
(b)
Combined weight of all the curry powder in containers H and containers J
= 480 u + 1000 u
= 1480 u
Difference between the combined weight of all the curry powder in containers H and containers J as compared to the curry powder in containers G
= 1480 u - 240 u
= 1240 u
= 1240 x 5
= 6200 g
= 6.2 kg
Answer(s): (a) 25; (b) 6.2 kg