Monique and Tara each make an ice-cream sundae. Monique gets 2 scoops of Cherry ice cream and 1 scoop of Mint Chocolate Chunk ice cream for a total of 75g of fat. Tara has 1 scoop of Cherry and 2 scoops of Mint Chocolate Chunk for a total of 54g of fat.

How many grams of fat does 1 scoop of each type of ice cream have?

Let's assume the number of grams of fat in 1 scoop of Cherry ice cream is C, and the number of grams of fat in 1 scoop of Mint Chocolate Chunk ice cream is M.

According to the information given, Monique has 2 scoops of Cherry ice cream and 1 scoop of Mint Chocolate Chunk ice cream, totaling 75g of fat. This can be expressed as the equation:

2C + 1M = 75 (Equation 1)

Similarly, Tara has 1 scoop of Cherry ice cream and 2 scoops of Mint Chocolate Chunk ice cream, totaling 54g of fat. This can be expressed as the equation:

1C + 2M = 54 (Equation 2)

We can solve this system of equations to find the values of C and M.

Multiplying Equation 1 by 2 and subtracting Equation 2 multiplied by 1:

4C + 2M - (1C + 2M) = 150 - 54
3C = 96
C = 96/3
C = 32

Substituting the value of C in Equation 1:

2(32) + 1M = 75
64 + M = 75
M = 75 - 64
M = 11

Therefore, 1 scoop of Cherry ice cream has 32g of fat, and 1 scoop of Mint Chocolate Chunk ice cream has 11g of fat.