Three types of rice flour, X, Y and Z come in containers of 120 g, 180 g and 210 g respectively. Containers of X, Y and Z are mixed together in the ratio 1 : 4 : 6 to obtain 10.5 kg of an assortment of rice flour.
- How many containers of X and Y are used altogether?
- Find the difference between the combined weight of all the rice flour in containers Y and containers Z as compared to the rice flour in containers X. Express the weight in kilograms.
|
X |
Y |
Z |
Number |
1 u |
4 u |
6 u |
Value |
120 |
180 |
210 |
Total value |
120 u |
720 u |
1260 u |
(a)
Total mass of rice flour
= 120 u + 720 u + 1260 u
= 2100 u
2100 u = 10500
1 u = 10500 ÷ 2100 = 5
Total number of containers of X and Y used
= 1 u + 4 u
= 5 u
= 5 x 5
= 25
(b)
Combined weight of all the rice flour in containers Y and containers Z
= 720 u + 1260 u
= 1980 u
Difference between the combined weight of all the rice flour in containers Y and containers Z as compared to the rice flour in containers X
= 1980 u - 120 u
= 1860 u
= 1860 x 5
= 9300 g
= 9.3 kg
Answer(s): (a) 25; (b) 9.3 kg