Question

5) John, James, and George sold tickets for the school

baseball game. John sold 6 times as many as James.
George sold 6 more than James. In all, they sold 54
tickets. How many did each boy sell?
6) The leng
its width.
what is its

Answer 1

Question 5

Wrong way

John sold 6 times as many as James. George sold 6 more than James. In all, they sold 54.

It may be hard to make an equation from the given question. But we can do it this way: Since three people in total sold the amount of money, we can divide the total amount by 3.

54 ÷ 3 = 18

Now we know they equally made $18, but they actually did not. So since John's sale was 6 times as James', we can just divide 18 by 6.

18 ÷ 6 = 3

Subtract 3 from 18 to know how much was added back to John. 18 - 3 = 15

15 + 18 = 33

3 + 6 = 9, since George's sale is 6 more (which is plus) than James.

Right Way

We are given John sold 6 times as many as James. How much James has is unknown, so we will give it "
`m`" as a variable.

`6m=54`

Divide both sides by 6

`6m=54\\\\(6m)/(6) = (54)/(6) \\\\(54)/(6)`

`=9`

So, James has sold $9

9+6=15

Answer 2

James: x
John: 6x
George: x + 6
x + 6x + x + 6 = 54
8x + 6 = 54
8x = 48, x = 6
Now plug in the variable
Solution: James = 6
John = 6(6) = 36
George = 6 + 6 = 12