Question 1185841
Hi
Jerry wendy and Alice were given some tickets to sell. Each one sold for $5. Jerry sold 3/7 of the tickets. Wendy sold 1/3 of what Alice sold. If wendy sold 60 fewer tickets than Jerry, how much money did they collect.

My son had difficulty with this question since we are not told what fraction of the tickets Alice sold
Thanks 
<pre>Let multiplicative factor for number of tickets sold be x
Then Jerry sold 3x, while Alice and Wendy sold a total of 4x tickets
Wendy sold {{{1/3}}} of what Alice sold, or Alice sold 3 times what Wendy sold, or 3W, with W being the number Wendy sold
We then get: W + 3W = 4x_____4W = 4x____{{{matrix(1,5, W, "=", 4x/4, "=", x)}}}

Since Wendy sold 60 FEWER tickets than Jerry, we then get: x = 3x  -  60
x - 3x = - 60
  - 2x = - 60
Multiplicative factor/Number Wendy sold, or {{{matrix(1,5, x, "=", (- 60)/(- 2), "=", 30)}}}

Number Jerry sold: 3x = 3(30) = 90
Number Alice sold: 3W = 3x = 3(30) = 90
Number all 3 sold: 30 + 2(90) = 210

Since the 3 sold a total of 210 tickets, the amount they collected = {{{highlight_green(matrix(1,3, 210(5), "=", "$1,050"))}}}</pre>