Three types of chilli powder, J, K and L come in containers of 60 g, 150 g and 210 g respectively. Containers of J, K and L are mixed together in the ratio 1 : 4 : 5 to obtain 10.26 kg of an assortment of chilli powder.
- How many containers of J and K are used altogether?
- Find the difference between the combined weight of all the chilli powder in containers K and containers L as compared to the chilli powder in containers J. Express the weight in kilograms.
|
J |
K |
L |
Number |
1 u |
4 u |
5 u |
Value |
60 |
150 |
210 |
Total value |
60 u |
600 u |
1050 u |
(a)
Total mass of chilli powder
= 60 u + 600 u + 1050 u
= 1710 u
1710 u = 10260
1 u = 10260 ÷ 1710 = 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 chilli powder in containers K and containers L
= 600 u + 1050 u
= 1650 u
Difference between the combined weight of all the chilli powder in containers K and containers L as compared to the chilli powder in containers J
= 1650 u - 60 u
= 1590 u
= 1590 x 6
= 9540 g
= 9.54 kg
Answer(s): (a) 30; (b) 9.54 kg