Answer :
Final answer:
In this problem, we are given the total grams of fat for two different combinations of ice cream scoops. By setting up a system of equations, we can find the number of grams of fat in each type of ice cream scoop. In this case, 1 scoop of Cherry ice cream has 15 grams of fat and 1 scoop of Mint Chocolate Chunk ice cream has 16 grams of fat.
Explanation:
To find out how many grams of fat 1 scoop of each type of ice cream has, we can set up a system of equations based on the information given. Let's say that a scoop of Cherry ice cream has x grams of fat and a scoop of Mint Chocolate Chunk ice cream has y grams of fat.
From the first statement, we know that 2x + y = 46, and from the second statement, we know that 3x + 2y = 77. Now we can solve this system of equations to find the values of x and y.
Multiplying the first equation by 3 and the second equation by 2, we get 6x + 3y = 138 and 6x + 4y = 154. Subtracting the first equation from the second equation, we get y = 16. Substituting this value back into the first equation, we can solve for x: 2x + 16 = 46. Simplifying, we find that x = 15.
Therefore, 1 scoop of Cherry ice cream has 15 grams of fat and 1 scoop of Mint Chocolate Chunk ice cream has 16 grams of fat.
Learn more about equations here:
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