197k views
23 votes
Bob has a recipe for salad dressing. The recipe says to mix 1/4 cup lemon juice, some mustard, and some vinegar to make a total of 5/8 cups salad dressing. How much lemon juice does he need to make a total of 4 cups of salad dressing?

2 Answers

5 votes
Answer:
Explanation:
1/4*x + 1/8*x + 1/4 * x = 4 cups
5/8 * x = 4 cups Multiply both sides by 8/5
5/8 * 8/5 x = 4 8/5
x = 32/5
x = 6.4
That means that each ingredient must be multiplied by 6.4
1/4 * 6.4 = 1.6 cups lemon juice
1/8 * 6.4 = .8 cups mustard
1/4 * 6.4 = 1.6 cups vinegar
Total = 4 cups.
User Hevlastka
by
5.1k points
4 votes

Explanation:

1/4*x + 1/8*x + 1/4 * x = 4 cups

5/8 * x = 4 cups Multiply both sides by 8/5

5/8 * 8/5 x = 4 8/5

x = 32/5

x = 6.4

That means that each ingredient must be multiplied by 6.4

1/4 * 6.4 = 1.6 cups lemon juice

1/8 * 6.4 = .8 cups mustard

1/4 * 6.4 = 1.6 cups vinegar

Total = 4 cups.