To find out how many cups of sugar are needed for 6 cookies, we can set up a proportion based on the amount of sugar needed for 9 cookies.
We know that:
- 9 cookies require 1.5 cups of sugar.
To find the amount of sugar needed for 6 cookies, we can first determine how much sugar is needed for 1 cookie:
\[ \text{Sugar per cookie} = \frac{1.5 , \text{cups}}{9 , \text{cookies}} = 0.1667 , \text{cups per cookie} \]
Now, we can find the sugar needed for 6 cookies:
\[ \text{Sugar for 6 cookies} = 6 , \text{cookies} \times 0.1667 , \text{cups per cookie} \approx 1 , \text{cup} \]
Alternatively, we can use a proportion directly:
\[ \frac{1.5 , \text{cups}}{9 , \text{cookies}} = \frac{x , \text{cups}}{6 , \text{cookies}} \]
Cross-multiplying gives:
\[ 1.5 \times 6 = 9 \times x \] \[ 9 = 9x \] \[ x = 1 \]
Thus, 1 cup of sugar is needed for 6 cookies.
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