WORD PROBLEMS
Algebra
Step 5.
The price of children’s tickets is one-half the price of adults’
tickets.
1
2
(.00)
||content||
.50
The gross is ,000.
4,000(.00) + 2,000(
||content||
.50) = ,000 + ,000 = ,000
Thus, the answers check.
Example 2:
A collection of coins consists of nickels, dimes, and quarters. The number of
quarters is twice the number of nickels, and the number of dimes is five more than
the number of nickels. If the total amount of money is .05, how many of each
type of coin are in the collection?
Solution:
Step 1.
Let x = Number of Nickels
Step 2.
Then,
2x = Number of Quarters
x + 5 = Number of Dimes
Step 3.
Total Value = (Number of Nickels)(Value of a Nickel) + (Number
of Dimes)(Value of a Dime) + (Number of Quarters)(Value of a
Quarter)
.05 = (x)(
||content||
.05) + (
x + 5)(
||content||
.10) + (2
x)(
||content||
.25)
Step 4.
Solving for x:
.05 = (x)(
||content||
.05) + (
x + 5)(
||content||
.10) + (2
x)(
||content||
.25)
.05 =
||content||
.05
x +
||content||
.10
x +
||content||
.50 +
||content||
.50
x
.05 =
||content||
.65
x +
||content||
.50
||content||
.65
x = .05 -
||content||
.50
||content||
.65
x = .55
MA-02
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