Question

free-write / record: recipe
how much flour is needed for ¾ cups of sugar? explain your work.
sugar (cups) flour (cups)
1/2 x2 1
x 3/2
3/4 ?
1/2 / 3/4 = 1 / ?
sugar to flour 1 : 2

Explanation:

Step1: Identify the ratio

From the table, when sugar is $\frac{1}{2}$ cup, flour is $1$ cup. So the ratio of sugar to flour is $\frac{1}{2}:1$, which simplifies to $1:2$ (multiplying both parts by $2$). This means flour is twice the amount of sugar.

Step2: Calculate flour for $\frac{3}{4}$ cup sugar

Since flour is twice sugar, multiply the amount of sugar ($\frac{3}{4}$ cup) by $2$. So, $\frac{3}{4} \times 2 = \frac{3}{2}$ (or $1\frac{1}{2}$) cups.

Answer:

$\frac{3}{2}$ (or $1\frac{1}{2}$) cups of flour are needed.