Three types of curry powder, J, K and L come in containers of 60 g, 90 g and 180 g respectively. Containers of J, K and L are mixed together in the ratio 1 : 4 : 6 to obtain 9 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 |
1 u |
4 u |
6 u |
Value |
60 |
90 |
180 |
Total value |
60 u |
360 u |
1080 u |
(a)
Total mass of curry powder
= 60 u + 360 u + 1080 u
= 1500 u
1500 u = 9000
1 u = 9000 ÷ 1500 = 6
Total number of containers of J and K used
= 1 u + 4 u
= 5 u
= 5 x 6
= 30
(b)
Combined weight of all the curry powder in containers K and containers L
= 360 u + 1080 u
= 1440 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
= 1440 u - 60 u
= 1380 u
= 1380 x 6
= 8280 g
= 8.28 kg
Answer(s): (a) 30; (b) 8.28 kg