Page 64 - MarceAlgebra Demystified

CHAPTER 2 Introduction to Variables 51

7. Nikki has $8000 in her bank, some in a checking account, some in
a certificate of deposit (CD).
Amount in checking account ¼ ________
Amount in CD ¼ ________
8. A total of 450 tickets were sold, some adult tickets, some children’s
tickets.
Number of adult tickets sold ¼ ________
Number of children’s tickets sold ¼________
9. A boutique is selling a sweater for three-fourths off retail.
Retail selling price ¼ ________
Sale price ¼ ________
10. A string is cut into three pieces of unequal length. The shortest
1
1
piece is as long as the longest piece. The mid-length piece is the
5 2
length of the longest piece.
Length of the longest piece (in the given units) ¼ ________
Length of the shortest piece (in the given units) ¼ ________
Length of the mid-length piece (in the given units) ¼ ________

Solutions

1. Marie’s age ¼ x
Tony’s age ¼ x þ 3
2. Mona’s height (in the given unit of measure) ¼ x
3
Sandie’s height (in the given unit of measure) ¼ x
4
3. Number of hours Gina takes to compute her taxes ¼ x
Number of hours Michael takes to compute his taxes ¼ x þ 2
4. Net income ¼ x
3 x
Amount spent on rent ¼ 5
5. Width (in the given unit of measure) ¼ x
Length (in the given unit of measure) ¼ 4x
6. Amount paid in federal income taxes ¼ x
Amount paid in state income taxes ¼ 5000 x
(Or x = amount paid in state income taxes and 5000 x ¼ amount
paid in federal taxes)
7. Amount in checking account ¼ x
Amount in CD ¼ 8000 x
(Or x = amount in CD and 8000 x ¼ amount in checking account)
8. Number of adult tickets sold ¼ x
Number of children’s tickets sold ¼ 450 x