Three types of sugar, K, L and M come in containers of 120 g, 300 g and 360 g respectively. Containers of K, L and M are mixed together in the ratio 1 : 4 : 7 to obtain 42.24 kg of an assortment of sugar.
- How many containers of K and L are used altogether?
- Find the difference between the combined weight of all the sugar in containers L and containers M as compared to the sugar in containers K. Express the weight in kilograms.
|
K |
L |
M |
Number |
1 u |
4 u |
7 u |
Value |
120 |
300 |
360 |
Total value |
120 u |
1200 u |
2520 u |
(a)
Total mass of sugar
= 120 u + 1200 u + 2520 u
= 3840 u
3840 u = 42240
1 u = 42240 ÷ 3840 = 11
Total number of containers of K and L used
= 1 u + 4 u
= 5 u
= 5 x 11
= 55
(b)
Combined weight of all the sugar in containers L and containers M
= 1200 u + 2520 u
= 3720 u
Difference between the combined weight of all the sugar in containers L and containers M as compared to the sugar in containers K
= 3720 u - 120 u
= 3600 u
= 3600 x 11
= 39600 g
= 39.6 kg
Answer(s): (a) 55; (b) 39.6 kg