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Diano4ka-milaya [45]
3 years ago
13

Hannah and Heather are sisters. Hannah's age is four less than twice Heather's age. The sum of their ages is 30. Which system of

equations can be used to determine Hannah's age, x, and Heather's age, y?
A.
x + 30 = y
x = 2 - 4y

B.
x + y = 30
x - 2y = 4

C.
x + y = 30
x = 2y - 4

D.
x + y = 4
y = 30 - 2x
Mathematics
1 answer:
adell [148]3 years ago
3 0

Let Hannah = X and Heather = Y.

The sum of their ages is 30, so you would have x + y = 30

Then Hannah's age is 4 less than 2 times Heather's age so X = 2y-4

The equations are :

X + Y = 30 and X = 2y - 4

The answer is C.

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To solve this problem, we must set up a system of equations. In this case, let's let Maggie's age be represented by the variable m and her brother's age be represented by the variable b. We are told that the sum of their ages is 24, which gives us our first equation: m + b = 24. We can construct our next equation from the first sentence of given information: b = 2m - 3. This makes our system of equations:

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