Three types of bread flour, J, K and L come in containers of 60 g, 150 g and 210 g respectively. Containers of J, K and L are mixed together in the ratio 3 : 6 : 8 to obtain 16.56 kg of an assortment of bread flour.
- How many containers of J and K are used altogether?
- Find the difference between the combined weight of all the bread flour in containers K and containers L as compared to the bread flour in containers J. Express the weight in kilograms.
|
J |
K |
L |
Number |
3 u |
6 u |
8 u |
Value |
60 |
150 |
210 |
Total value |
180 u |
900 u |
1680 u |
(a)
Total mass of bread flour
= 180 u + 900 u + 1680 u
= 2760 u
2760 u = 16560
1 u = 16560 ÷ 2760 = 6
Total number of containers of J and K used
= 3 u + 6 u
= 9 u
= 9 x 6
= 54
(b)
Combined weight of all the bread flour in containers K and containers L
= 900 u + 1680 u
= 2580 u
Difference between the combined weight of all the bread flour in containers K and containers L as compared to the bread flour in containers J
= 2580 u - 180 u
= 2400 u
= 2400 x 6
= 14400 g
= 14.4 kg
Answer(s): (a) 54; (b) 14.4 kg