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Robin wants to make a smoothie out of milk, strawberry yogurt, and ice. She finds this nutritional information:

Milk
Nutrition Facts
Serving Size- 1 cup
Calories- 100
Protein- 9g

Strawberry Yogurt
Nutrition Facts
Serving Size- 1 cup
Calories- 190
Protein- 13g

Ice
Nutrition Facts
Serving Size- 1 cup
Calories- 0
Protein- 0g


Robin wants her smoothie to have about 335 Calories and 24 grams of protein.
A) Write a system of equations to model the conditions for Robin's smoothie.
B) Graph the equations from part (a) [You dont have to answer this part, with part A, i can do it myself]
C) How much yogurt and milk should Robin use to make her smoothie? Explain.

please! I need help with this! Thank you

2 Answers

4 votes

Final answer:

To solve the problem, create a system of equations using the given information and solve for the variables 'm' and 'y'.

Step-by-step explanation:

In order to solve this problem, we can create a system of equations based on the given information. Let's use the variables 'm' for milk, 'y' for yogurt, and 'i' for ice.

Since Robin wants her smoothie to have about 335 calories, we can create the equation: 100m + 190y + 0i = 335

Similarly, since she wants her smoothie to have 24 grams of protein, we can create another equation: 9m + 13y + 0i = 24

Now we can solve the system of equations to find the values of 'm' and 'y' that satisfy both equations.

User Romhein
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5 votes
That is a lot of help
User Raynard
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