1). A pile of 20 coins is worth $4.80. There are only quarters and nickels in the pile. How many quarters are there?
I will give you the equations:
Let Q = number of quarters
Let N = number of nickels
Number of coins equation: Q + N = 20
Total value of coins equation:
25Q + 5N = 480 (cents)
There were ____ quarters. | 2). From the 2011 Math Olympiad:
Sam gives his mother a bouquet of flowers; some of the flowers have 3 petals and the rest have 5 petals. He counts 12 flowers in all. His little sister counts 44 petals. How many 3 petal flowers are in the bouquet?
Let T = number of 3-petal flowers and
Let F = number of 5-petal flowers
Total number of flowers equation:
Total number of petals equation:
There were _____ 3-petal flowers. |
3) . A furniture store makes tables and chairs. In a week, they make a total of 150 tables and chairs. It takes 10 hours to make a table and 3 hours to make a chair. In a week they work 660 hours on the tables and chairs. How many tables did they make in a week?
Let T = number of tables and
C = number of chairs.
They made ____ tables.
| 4) . "Cycle Center" has bicycles and tricycles. They have a total of 17 vehicles which have a total of 42 wheels. How many bicycles does "Cycle Center" have?
Let B = number of bicycles and
T = number of tricycles.
There were _____ bicycles. |