Solving Word Problems With Equations Of One Degree And One Unknown Worksheet With Answers Page 15
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203. The sum of the ages of Joe and Jamie is 35. Joe is 5 years older than twice Jamie’s
age. How old are they? (NOTE: There is no “then” column in this problem, but the
idea is the same)
Joe’s age=x
Jamie=2x+5}older
x+2x+5=35
3x+5=35
x=10
Jamie=2(10)+5=25
MONEY PROBLEMS
1. A man withdrew $75 in $1 bills and $5 bills from the bank. There were 3 more $1
bills than $5 bills. How many were there of each kind?
x=number of $1 bills
Number
value
$1 bills
X
1*x
$5 bills
x-3
5(x-3)
total
75
1*x+5(x-3)=75
x=15 number of $1 bills
15-3=12 number of $5 bills
2. In a collection there are twice as many nickels as dimes and the value is $8.40. How
many of each kind are there?
x=number of dimes
Number
value (cents)
dimes
X
10x
nickels
2x
2(5x)
840
10x+2(5)x=840
x=42 and 84 nickels
3. Tickets for the school play sold for $1.00 and $2.50. How many tickets of each kind
were sold if they took in $575.00 for 350 tickets? (HINT: the tickets are like “bills” or
“coins” of different value)
15
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