Question

Lemonade costs $10 a glass at a lemonade stand. What is the ratio in which the vendor mixes lemon juice with water to make lemonade if the lemon juice costs $30?​

Answer 1

Step-by-step explanation:

Total 4 cups of lemon juice

Answer 2

Ratio of  lemon juice with water  is   1: 2 if Lemonade costs $10 a glass and lemon juice costs $30

Given:

• Lemonade costs $10 a glass
• Lemon juice costs $30 a glass

To Find:

• Ratio in which the vendor mixes lemon juice with water to make lemonade

Step 1

Assume that Vendor mixed lemon juice with water in the ratio

1:k

Step 2

1 glass lemon juice cost = $30

k glass water cost = 0

Total cost = $30

Step 3

Total Glass of lemonade= k + 1

Cost of k +1 lemonade glass = 10(k + 1)

Step 4:

Equate both costs and solve for k

10(k + 1) = 30

k + 1 = 3

=> k = 2

Ratio of  lemon juice with water  is   1: 2