Three types of sugar, J, K and L come in containers of 120 g, 150 g and 240 g respectively. Containers of J, K and L are mixed together in the ratio 1 : 2 : 5 to obtain 14.58 kg of an assortment of sugar.
- How many containers of J and K are used altogether?
- Find the difference between the combined weight of all the sugar in containers K and containers L as compared to the sugar in containers J. Express the weight in kilograms.
|
J |
K |
L |
Number |
1 u |
2 u |
5 u |
Value |
120 |
150 |
240 |
Total value |
120 u |
300 u |
1200 u |
(a)
Total mass of sugar
= 120 u + 300 u + 1200 u
= 1620 u
1620 u = 14580
1 u = 14580 ÷ 1620 = 9
Total number of containers of J and K used
= 1 u + 2 u
= 3 u
= 3 x 9
= 27
(b)
Combined weight of all the sugar in containers K and containers L
= 300 u + 1200 u
= 1500 u
Difference between the combined weight of all the sugar in containers K and containers L as compared to the sugar in containers J
= 1500 u - 120 u
= 1380 u
= 1380 x 9
= 12420 g
= 12.42 kg
Answer(s): (a) 27; (b) 12.42 kg