Answer :
Final answer:
In a recipe, if 30 potatoes make 12 quarts of potato salad, then to make 4 quarts of potato salad, 10 potatoes are required. This is solved through cross multiplication in a proportional relationship.
Explanation:
The question asked is how many potatoes are required to make 4 quarts of potato salad, given that 30 potatoes make 12 quarts of potato salad. This is a problem requiring a proportional relationship between the number of potatoes used and the amount of potato salad produced.
To solve this problem, you use the ratio 30 potatoes to 12 quarts as your base ratio. You then set up a proportion where this base ratio equals the ratio of x potatoes to 4 quarts. Mathematically, it can be set up as follows: 30/12 = x/4.
Next, cross multiply and solve for x. Doing so gives x = 4 * 30 / 12 = 10. Therefore, to make 4 quarts of potato salad, 10 potatoes are required.
Learn more about Proportional Relationship here:
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Answer:
10 potatoes.
Step-by-step explanation:
Let x be the number of potatoes.
Then by proportion:
30/12 = x/4
12x = 4*30 = 120
x = 10.