Question

According to Damien's trail mix recipe, 3 cups of dried fruit should be used for every 4 1/2 cups of salted nuts. At this rate, how many cups of nuts should be used if 4 cups of dried fruit is used?

Answer 1

To find out how many cups of nuts are needed for 4 cups of dried fruit based on the given ratio in Damien's trail mix recipe, a proportion is set up and solved. The calculation reveals that 6 cups of nuts are necessary.

Step-by-step explanation:

The question involves setting up a proportion based on the given ratio of dried fruit to nuts in Damien's trail mix recipe. To find out how much nuts is needed when using 4 cups of dried fruit, we need to look at the original ratio of 3 cups of dried fruit to 4.5 cups of nuts and then set up a proportion. We are solving for the number of cups of nuts (x) for the new quantity of dried fruit (4 cups).

Step-by-step calculation:

Write the original ratio as a fraction: 3 cups of fruit / 4.5 cups of nuts.Set up the proportion with the new amount of fruit: 3 / 4.5 = 4 / x.Solve for x by cross-multiplying: 3x = 18 → x = 18 / 3 → x = 6.

Therefore, 6 cups of nuts are needed for 4 cups of dried fruit.