Concrete is mixed using cement, sand and gravel in a ratio.The ratio used for heavy duty jobs is 1:2:3 (1-part cement, 2-parts sand, 3-parts gravel).Sophie orders 1 cubic metre of sand to mix.How many cubic metres of gravel will she need?A. 1 12B. 2C. 2 12D. 3
Question
Concrete is mixed using cement, sand and gravel in a ratio.The ratio used for heavy duty jobs is 1:2:3 (1-part cement, 2-parts sand, 3-parts gravel).Sophie orders 1 cubic metre of sand to mix.How many cubic metres of gravel will she need?A. 1 12B. 2C. 2 12D. 3
Solution
The ratio of cement to sand to gravel is 1:2:3. This means for every 2 parts of sand, 3 parts of gravel are needed.
Sophie has ordered 1 cubic metre of sand.
To find out how much gravel she needs, we can set up a proportion.
2 parts sand : 3 parts gravel = 1 cubic metre sand : x cubic metres gravel
Cross multiplying gives us 2x = 3, so x = 3/2 = 1.5 cubic metres of gravel.
So, Sophie will need 1.5 cubic metres of gravel.
Therefore, none of the options A, B, C, D are correct.
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