A total of 688 tickets were sold for the school play. They were either adult tickets or student tickets. There were 62 fewer student tickets sold than adult tickets. How many adult tickets were sold?
3 answers
406
better check your math. even a glance shows that 400+400 > 600
Ms. Singh, this is a very simple if you turn sentences into equations.
a = adults tickets
s = students tickets
There were 62 fewer student tickets sold than adult tickets means:
s = a - 62
Since 688 is the sum of adults tickets sold and students tickets sold:
a + s = 688
Replace s = a - 62 in this equation.
a + a - 62 = 688
2 a - 62 = 688
Add 62 to both sides
2 a = 688 + 62
2 a = 750
Divide both sides by 2
a = 750 / 2
a = 375
375 adults tickets were sold.
a = adults tickets
s = students tickets
There were 62 fewer student tickets sold than adult tickets means:
s = a - 62
Since 688 is the sum of adults tickets sold and students tickets sold:
a + s = 688
Replace s = a - 62 in this equation.
a + a - 62 = 688
2 a - 62 = 688
Add 62 to both sides
2 a = 688 + 62
2 a = 750
Divide both sides by 2
a = 750 / 2
a = 375
375 adults tickets were sold.