A punch recipe that serves 24 calls for 1/3cup of lemon juice. If Mike plans to make only enough punch to serve 12 people, how much lemon juice will he need? Explain how you found your answer.

Mike will need 1/6 cup of lemon juice to serve 12 people

Step-by-step explanation:

1/3 cup of lemon juice = 24 servings

x cups of lemon juice = 12 servings

Using ratio

1/3 : 24 = x : 12

1/3 ÷ 24 = x / 12

1/3 × 1/24 = x/12

1/72 = x/12

Cross product

1*12 = 72*x

12 = 72x

Divide both sides by 72

x= 12/72

= 1/6

x= 1/6

Mike will need 1/6 cup of lemon juice to serve 12 people

75% (75.45%)

Step-by-step explanation:

I'm assuming Buddy's total calories are 2000 calories a day. The problem wants you to find what percentage of 2000 is 1509. You can do this by dividing 1509 by 2000.

1509 / 2000 = 0.7545

Make this number a percent by moving the decimal place to the right twice.

75.45

Buddy ate 75.45% of his total calories (or 75% if you round to nearest whole number).