Three types of curry powder, K, L and M come in containers of 180 g, 360 g and 540 g respectively. Containers of K, L and M are mixed together in the ratio 3 : 5 : 7 to obtain 67.32 kg of an assortment of curry powder.
- How many containers of K and L are used altogether?
- Find the difference between the combined weight of all the curry powder in containers L and containers M as compared to the curry powder in containers K. Express the weight in kilograms.
|
K |
L |
M |
Number |
3 u |
5 u |
7 u |
Value |
180 |
360 |
540 |
Total value |
540 u |
1800 u |
3780 u |
(a)
Total mass of curry powder
= 540 u + 1800 u + 3780 u
= 6120 u
6120 u = 67320
1 u = 67320 ÷ 6120 = 11
Total number of containers of K and L used
= 3 u + 5 u
= 8 u
= 8 x 11
= 88
(b)
Combined weight of all the curry powder in containers L and containers M
= 1800 u + 3780 u
= 5580 u
Difference between the combined weight of all the curry powder in containers L and containers M as compared to the curry powder in containers K
= 5580 u - 540 u
= 5040 u
= 5040 x 11
= 55440 g
= 55.44 kg
Answer(s): (a) 88; (b) 55.44 kg