Glen and Connie are ticket-sellers

Question

Glen and Connie are ticket-sellers at their class play, Glen handling student tickets that sell for $9.80 each and Connie selling adult tickets for $14.90 each. If their total income for 114 tickets was $1652.70, how many did Connie sell

Answer 1

x = number of tickets Glen sold

9.8x is how much total money Glen received

 

y = number of tickets Connie sold

14.9y is how much total money Connie received

 

x + y = 114

9.8x + 14.9y = 1652.70

 

We need to find out how many tickets Connie sold, so we're solving for y.

We can rearrange the first equation to be x = 114 - y

 

We can then replace x in the second equation, so now it reads:

9.8(114-y) + 14.9y = 1652.70

 

You can multiply out the parenthases to be (9.8*114) - 9.8y

Now the equation reads:

1117.2 - 9.8y + 14.9y = 1652.70

 

Combine like terms:

1117.2 + 5.1y = 1652.7

 

Subtract 1117.2 from both sides:

5.1y = 535.5

 

Divide both sides by 5.1 to isolate y:

y = 105

 

Thus, the number of tickets that Connie sold is 105.

 

 

 

Answer 2

G = number Glen sells, 9.80G = money Glen brings in.

C = number Connie sells, 14.90C = money Connie brings in.

 

G + C = 114

9.80G + 14.90C = 1652.70

 

Multiply bottom by 10 to clear the decimasl

 

G + C = 114

98G + 149C = 16527

 

Now solve the substitution or elimination.