Three types of curry powder, J, K and L come in containers of 90 g, 180 g and 270 g respectively. Containers of J, K and L are mixed together in the ratio 2 : 5 : 8 to obtain 22.68 kg of an assortment of curry powder.
- How many containers of J and K are used altogether?
- Find the difference between the combined weight of all the curry powder in containers K and containers L as compared to the curry powder in containers J. Express the weight in kilograms.
|
J |
K |
L |
Number |
2 u |
5 u |
8 u |
Value |
90 |
180 |
270 |
Total value |
180 u |
900 u |
2160 u |
(a)
Total mass of curry powder
= 180 u + 900 u + 2160 u
= 3240 u
3240 u = 22680
1 u = 22680 ÷ 3240 = 7
Total number of containers of J and K used
= 2 u + 5 u
= 7 u
= 7 x 7
= 49
(b)
Combined weight of all the curry powder in containers K and containers L
= 900 u + 2160 u
= 3060 u
Difference between the combined weight of all the curry powder in containers K and containers L as compared to the curry powder in containers J
= 3060 u - 180 u
= 2880 u
= 2880 x 7
= 20160 g
= 20.16 kg
Answer(s): (a) 49; (b) 20.16 kg