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Wewaii [24]
4 years ago
6

Maggie's brother is 5 years younger than twice her age. The sum of their ages is 22.

Mathematics
2 answers:
harkovskaia [24]4 years ago
8 0

Answer:

9 years old

Step-by-step explanation:

Let maggie's age be m,

and let maggie's brother's age be b

b = 2m - 5,

m + b = 22

Substitute "2m - 5" for b in the second equation (substitution)

m + (2m - 5) = 22 -> Remove parenthesis

m + 2m - 5 = 22 -> Combine like terms

3m = 22 + 5 = 27 -> Divide either side by 3

m = 27/3 = 9

Solution: Maggie is 9 years old

erastova [34]4 years ago
6 0
Maggie is 9 years old
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A 40% sugar solution is added to an 85% sugar solution to create 1800 mL of a 60% solution. How much of each solution is used? (
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Answer:

Number of ml of 40% sugar = x = 1000mL

Number of ml of 85% sugar used = y = 800mL

Step-by-step explanation:

Let the

Number of ml of 40% sugar = x

Number of ml of 85% sugar used = y

From the above question, our system of equations is given as:

x + y = 1800mL ....... Equation 1

x = 1800 - y

40% × x + 85% × y = 60% × 1800mL

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We substitute 1800 - y for x in Equation 2

0.4(1800 - y) + 0.85y = 1080

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x = 1800 - 800

x = 1000mL

Therefore,

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