Three types of rice flour, T, U and V come in containers of 120 g, 240 g and 320 g respectively. Containers of T, U and V are mixed together in the ratio 2 : 3 : 6 to obtain 23.04 kg of an assortment of rice flour.
- How many containers of T and U are used altogether?
- Find the difference between the combined weight of all the rice flour in containers U and containers V as compared to the rice flour in containers T. Express the weight in kilograms.
|
T |
U |
V |
Number |
2 u |
3 u |
6 u |
Value |
120 |
240 |
320 |
Total value |
240 u |
720 u |
1920 u |
(a)
Total mass of rice flour
= 240 u + 720 u + 1920 u
= 2880 u
2880 u = 23040
1 u = 23040 ÷ 2880 = 8
Total number of containers of T and U used
= 2 u + 3 u
= 5 u
= 5 x 8
= 40
(b)
Combined weight of all the rice flour in containers U and containers V
= 720 u + 1920 u
= 2640 u
Difference between the combined weight of all the rice flour in containers U and containers V as compared to the rice flour in containers T
= 2640 u - 240 u
= 2400 u
= 2400 x 8
= 19200 g
= 19.2 kg
Answer(s): (a) 40; (b) 19.2 kg