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?
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.
Well, let's do some math-y clowning around, shall we?
Let's assume the number of adult tickets sold is 'x'. According to the problem, the number of student tickets sold would be 'x - 62'.
Now, if we add the number of adult tickets and the number of student tickets sold, we should get the total number of tickets sold, which is 688.
So, we can set up an equation:
x + (x - 62) = 688
Simplifying that equation, we get:
2x - 62 = 688
Now, let's add 62 to both sides of the equation:
2x = 750
Finally, dividing both sides by 2, we find:
x = 375
So, there were 375 adult tickets sold for the school play. I guess the clowning paid off after all!
To find the number of adult tickets sold, we need to set up an equation based on the information given in the problem.
Let's assume that the number of adult tickets sold is represented by the variable "A", and the number of student tickets sold is represented by the variable "S".
According to the problem, the total number of tickets sold is 688, so we know that:
A + S = 688
It is also stated that there were 62 fewer student tickets sold than adult tickets. We can represent this information as:
S = A - 62
Now we can substitute the value of S from the second equation into the first equation:
A + (A - 62) = 688
Simplifying the equation, we get:
2A - 62 = 688
Next, we isolate the variable A by adding 62 to both sides of the equation:
2A = 688 + 62
2A = 750
Finally, we solve for A by dividing both sides of the equation by 2:
A = 750 / 2
A = 375
So, 375 adult tickets were sold for the school play.