Question

A cake recipe uses $150$ grams of sugar in $400$ grams of flour then find the ratio of sugar to the amount of flour and sugar.

Answer 1

Explanation.

We know that ratio is defined as the comparison between two numbers that indicate how many times are these two quantities related.

Given the quantity of sugar $=150\mathrm{g}$

Quantity of flour $=400\mathrm{g}$

And the quantity of sugar and flour together $=150+400$

$=550\mathrm{g}$

Now the ratio of sugar to the quantity of sugar and flour together $=\frac{\mathrm{Quantity}\mathrm{of}\mathrm{sugar}}{\mathrm{Quantity}\mathrm{of}\mathrm{sugar}\mathrm{and}\mathrm{flour}}$

$$\begin{gathered} =\frac{150}{550} \\ =\frac{15}{55} \\ =\frac{3}{11} \end{gathered}$$

Therefore, the required ratio of sugar to the quantity of sugar and flour together is $3:11$