Answer :
Final answer:
To find the grams of fat in 1 scoop of each type of ice cream, we set up a system of equations and solve for the unknowns C and M using either substitution or elimination method. 1 scoop of cherry ice cream has 33 grams of fat, and 1 scoop of mint chocolate chunk ice cream has 13 grams of fat.
Explanation:
To find how many grams of fat 1 scoop of each type of ice cream has, we need to divide the total fat by the number of scoops. Let's set up an equation for Monique's ice cream: 2C + M = 79 where C represents the grams of fat in 1 scoop of cherry ice cream and M represents the grams of fat in 1 scoop of mint chocolate chunk ice cream. Similarly, for Tara's ice cream: C + 2M = 59. To solve this system of equations, we can use substitution or elimination method.
Multiplying the first equation by 2, we get: 4C + 2M = 158. Subtracting the second equation from this gives us: 3C = 99. Dividing both sides by 3, we find that C = 33. Substituting this value back into any of the original equations, we can find M to be 13.
Therefore, 1 scoop of cherry ice cream has 33 grams of fat, and 1 scoop of mint chocolate chunk ice cream has 13 grams of fat.
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