# Algebra

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Michelle sold tickets for the basketball game. Each adult ticket costs 3\$ and each student ticket costs 1.50. There were 105 tickets sold for a total of 250\$. How many of each type of ticket were sold?

• Algebra - ,

x = adult tkts
y = student tkts
3x = value of adult tkts
1.5y = value of student tkts

x + y = 105
3x + 1.5y = 250

solve these equation together

post back if you need more help

• Algebra - ,

How do you solve the equations? ):

• Algebra - ,

(1) x + y = 105
(2) 3x + 1.5y = 250

multiply equation (1) by -3
-3 (x + y = 105) = -3x - 3y = -315

add the two equations together
-3x - 3y = -315
3x + 1.5y = 250
0 - 1.5y = - 65
-1.5y = -65
y = 43.33 student tkts

x + y = 105
x + 43.33 = 105
x = 61.67 student tkts

are you sure you typed this problem right?
because there were 61.67 adult tkts
and 43.33 student tkts

the number of tkts should not be a fraction, but I checked this 4 times

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