SOLUTION: Emma, Jackson, and Nicholas have been selling raffle tickets to raise money for the math club. Emma sold 5 less than twice as many tickets as Nicholas. Jackson sold 10 more than tw
Question 550918: Emma, Jackson, and Nicholas have been selling raffle tickets to raise money for the math club. Emma sold 5 less than twice as many tickets as Nicholas. Jackson sold 10 more than twice as many as Nicholas. Together the three sold 180 tickets. How many did each student sell? Answer by ankor@dixie-net.com(22740) (Show Source):
You can put this solution on YOUR website! Emma, Jackson, and Nicholas have been selling raffle tickets to raise money for the math club.
:
Write an equation for each statement:
:
Emma sold 5 less than twice as many tickets as Nicholas.
e = 2n-5
:
Jackson sold 10 more than twice as many as Nicholas.
j = 2n + 10
:
Together the three sold 180 tickets.
e + j + n = 180
From the 1st two statements we can substitute for e and j
(2n-5) + (2n+10) + n = 180
2n + 2n + n - 5 + 10 = 180
5n + 5 = 180
5n = 180-5
n =
n = 35 tickets solve by Nicholas
:
I'll let you find e and j, see that all three add up to 180
