Question

Can someone please help me with math.

Answer 1

Answer:

Step-by-step 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