Three types of sugar, B, C and D come in containers of 160 g, 280 g and 360 g respectively. Containers of B, C and D are mixed together in the ratio 2 : 5 : 6 to obtain 46.56 kg of an assortment of sugar.
- How many containers of B and C are used altogether?
- Find the difference between the combined weight of all the sugar in containers C and containers D as compared to the sugar in containers B. Express the weight in kilograms.
|
B |
C |
D |
Number |
2 u |
5 u |
6 u |
Value |
160 |
280 |
360 |
Total value |
320 u |
1400 u |
2160 u |
(a)
Total mass of sugar
= 320 u + 1400 u + 2160 u
= 3880 u
3880 u = 46560
1 u = 46560 ÷ 3880 = 12
Total number of containers of B and C used
= 2 u + 5 u
= 7 u
= 7 x 12
= 84
(b)
Combined weight of all the sugar in containers C and containers D
= 1400 u + 2160 u
= 3560 u
Difference between the combined weight of all the sugar in containers C and containers D as compared to the sugar in containers B
= 3560 u - 320 u
= 3240 u
= 3240 x 12
= 38880 g
= 38.88 kg
Answer(s): (a) 84; (b) 38.88 kg