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Can someone please help me with math.

Can someone please help me with math.-example-1
User Mfeingold
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1 Answer

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24 votes

Answer:

Explanation:

1) Number of nickels = x

Number of quarter = y

x + y = 7 ----------------------(I)

x = 7 - y ------------------------(II)

0.05x + 0.25y = 0.55 -----------(III)

Substitute s = 7 - y in equation (III)

0.05*(7 - y) + 0.25y = 0.55

0.05*7 - 0.05*y + 0.25y = 0.55

0.35 - 0.05y + 0.25y = 0.55 {Combine like terms}

0.35 + 0.20y = 0.55 {Subtract 0.35 from both sides}

0.2y = 0.55 - 0.35

0.2y = 0.2 {Divide both sides by 0.2}

y = 0.2/0.2

y = 1

Substitute y =1 in equation (II)

x = 7 - 1

x = 6

Number of nickels = 6

Number of quarter = 1

2) Number of children tickets = x

Number of adult tickets = y

x + y = 40 -----------------(I)

x = 40 - y -----------------(II)

2x + 5y = 170 -----------------(III)

Substitute x = 40 - y in equation (III)

2*(40-y) + 5y = 170

2*40 - 2*y + 5y = 170

80 - 2y + 5y = 170 {Combine like terms}

80 + 3y = 170 {Subtract 80 from both sides}

3y = 170 - 80

3y = 90 {Divide both sides by 3}

y = 90/3

y = 30

Substitute y = 30 in equation (II)

x = 40 - 30

x = 10

Number of children tickets = 10

Number of adult tickets =30

User Pranav Labhe
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