Solving Word Problems With Equations Of One Degree And One Unknown Worksheet With Answers Page 16
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20x=number of $1 tickets
350-x=number of $2.50 tickets
Number
value
$1
X
1*x
$2.50 ticket
350-x
2.5 (350-x)
575
1*x+2.5(350-x)=575
Solve for x. x=200
And number of $2.50 tickets=150
INVESTMENT PROBLEMS
1. A man borrows a certain sum at 5 1/2% interest and a sum that is $5,000 greater at
7%. How much does he borrow if the interest for one year is $1,850?
Let x=amount borrowed at 5 1/2% then x+5000=amount borrowed at 7%.
5 1/2%x+7%(x+5000)=1850
.055x+.07(x+5000)=1850
.055x+.07x+350=1850
.125x=1500
x=12000
and amount at 7%=17000
2. A man invests a certain sum at 3 1/2%, twice that sum at 4%, and twice the
second sum at 5%. The total income from the investments is $5,040. How
much does he invest at each rate?
Let x= amount invested at 3 1/2%, then 2x=amount invested at 4%, then
2(2x)=amount invested at 5%.
3 1/2%x+4%(2x)+5%(2)(2x)=5040
.035x+.08x+.2x=5040
x=16000, 32000, 64000
3. A man has $8,000 invested at 5% and $2,000 invested at 7%. How much must he
invest at 8% to make an average of 6% on his investment? (HINT: the average of 6%
will be based on the total amount of money he is investing at all three of the other
percents.)
Let x=amount invested at 8%.
8000(5%)+2000(7%)+8%x=6%(8000+2000+x)
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