Tickets 4

Stacey is selling tickets to the school play. The tickets are $7 for adults and $5 for children. She sells twice as many adult tickets as children's tickets and brings in a total of $342. How many of each kind of ticket did she sell?

Correct answer:

a =  18
b =  36

Step-by-step explanation:


7a + 6b = 342
b = 2a

7·a + 6·b = 342
b = 2·a

7a+6b = 342
2a-b = 0

Row 2 - 2/7 · Row 1 → Row 2
7a+6b = 342
-2.71b = -97.71


b = -97.71428571/-2.71428571 = 36
a = 342-6b/7 = 342-6 · 36/7 = 18

a = 18
b = 36

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