Alex has 84 quarters and nickels worth a total of $17.80.

which equation can be used to find q, the number of quarters alex has?

0.25q + 0.05(q – 84) = 17.80
0.05q + 0.25(84 – q) = 17.80
0.25(q – 84) + 0.05q = 17.80
0.05(84 – q) + 0.25q = 17.80

Equation is used for finding numbers of quarters (q) is 0.05 (84-q) + 0.25q = 17.80 .

Step-by-step explanation:

Let us assume that the number of nickel is represented by n .

Let us assume that the number of quarters is represented by q .

As given

Alex has 84 quarters and nickels worth a total of $17.80.

Than the equation becomes

n + q = 84

As

1 quarters = $ 0.25

1 nickel = $ 0.05

Than the equation becomes

Value of quaters in dollars × q + Value of nickel in dollars × n = Total cost of dollar

0.25q + 0.05n = 17.80

Thus two equations are

n + q = 84

0.25q + 0.05 n = 17.80

(As n + q = 84 thus n = 84 - q)

Putting n = 84 - q in the equation 0.25q + 0.05 n = 17.80.

0.25q + 0.05 (84-q) = 17.80

Therefore the equation is used for finding numbers of quarters (q) is 0.05 (84-q) + 0.25q = 17.80 .

tickets for the harlem globetrotters

show at michigan state university in

2010 cost $16, $23, or, for vip seats, $40.

total revenue = 16x + 23y + 40z

if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, if 9 times as many $16 tickets were sold

as vip tickets,

x = 9z => x – 9z = 0, sales of all three kinds of tickets would

total $46,575.

16x + 23y + 40z = 46575, how many of each kind of ticket would

have been sold?

solve for x, y and z

x − 9z = 0

x − y − z = 55

16x + 23y + 40z = 46575

x = 1170

y = 985

z = 130

welcome!