Word Problems Examples
Ex 1: Brianna’s family spent $134 on 2 adult tickets
and 3 youth tickets at an amusement park. Max’s
family spent $146 on 3 adult tickets and 2 youth
tickets. What is the price of a youth ticket?
Y = Price of Youth Tix
A = Price of Adult Tix
2A + 3Y = 134
3A + 2y = 146
Ex 2: Vanessa has 40 nickels and dimes. The total
value of the coins is $3.25. Find the number of each
type of coin.
n = number of nickels
d = number of dimes
0.05n + 0.10d = 3.25
n + d = 40
-2 • (2A + 3Y = 134)
3 • (3A + 2Y = 146)
2(34) + 3Y = 134
68 + 3Y = 134
3Y = 66
Y = 22
-4A - 6Y = -268
9A + 6Y = 438
Adult Tix: $34
Youth Tix: $22
(0.05n + .10d = 3.25) • 1
(n + d = 40)
• –0.05
0.05n + 0.10d = 3.25
–0.05n – 0.05d = –2.00
0.05d = 1.25
d = 25
5A = 170
A = 34
n + 25 = 40
n = 15
15 Nickels &
25 Dimes
Word Problems Examples
Ex 1: Brianna’s family spent $134 on 2 adult tickets
and 3 youth tickets at an amusement park. Max’s
family spent $146 on 3 adult tickets and 2 youth
tickets. What is the price of a youth ticket?
Y = Price of Youth Tix
A = Price of Adult Tix
2A + 3Y = 134
3A + 2y = 146
0.05n + 0.10d = 3.25
n + d = 40
-2 • (2A + 3Y = 134)
3 • (3A + 2Y = 146)
2(34) + 3Y = 134
68 + 3Y = 134
3Y = 66
Y = 22
-4A - 6Y = -268
9A + 6Y = 438
Adult Tix: $34
Youth Tix: $22
5A = 170
A = 34
Ex 2: Vanessa has 40 nickels and dimes. The total
value of the coins is $3.25. Find the number of each
type of coin.
n = number of nickels
d = number of dimes
(0.05n + .10d = 3.25) • 1
(n + d = 40)
• –0.05
0.05n + 0.10d = 3.25
–0.05n – 0.05d = –2.00
0.05d = 1.25
d = 25
n + 25 = 40
n = 15
15 Nickels &
25 Dimes