# math word problem

posted by .

"Adult tickets are \$6, Kids are \$3. If the total sales are \$585, but only 120 tickets were sold, how many adult tickets were sold?

If this was 130 it would be easy: \$3+\$6 =\$9; \$585/\$9 = 65 tickets. The problem is the question specifies 120 tickets.

• math word problem -

children tickets -- y

x+y = 120

cost equation:
6x + 3y = 585
or after dividing by 3
2x + y = 195

subtract the two equations:
2x+y = 195
x + y = 120
----------
x = 75
then in x+y = 120
75 + y = 120
y = 45

they sold 75 adults, and 45 children tickets

check:
75(6) + 45(3) = 585 , yeahhhh

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