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

no this is a nonlinear negative

let y equal to

the total fare and x is the mile of taxi ride. so the equation is

y = 0.55x + 1.75

since susie has

$10 to spend for a taxi cab, so he can have

10 = 0.55x +

1.75

x = 15 miles of

taxi ride

so the system of

inequality is

10 < 0.55x +

1.75

x > 2