WORD PROBLEMSAlgebraStep 5. The price of children’s tickets is one-half the price of adults’tickets.12(.00)
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.50The gross is ,000.4,000(.00) + 2,000(
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.50) = ,000 + ,000 = ,000Thus, the answers check.Example 2:A collection of coins consists of nickels, dimes, and quarters. The number ofquarters is twice the number of nickels, and the number of dimes is five more thanthe number of nickels. If the total amount of money is .05, how many of eachtype of coin are in the collection?Solution:Step 1. Let x = Number of NickelsStep 2. Then,2x = Number of Quartersx + 5 = Number of DimesStep 3. Total Value = (Number of Nickels)(Value of a Nickel) + (Numberof Dimes)(Value of a Dime) + (Number of Quarters)(Value of aQuarter).05 = (x)(
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.05) + (x + 5)(
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.10) + (2x)(
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.25)Step 4. Solving for x:.05 = (x)(
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.05) + (x + 5)(
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.10) + (2x)(
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.25).05 =
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.05x +
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.10x +
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.50 +
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.50x.05 =
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.65x +
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.50
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.65x = .05 -
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.50
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.65x = .55MA-02 Page 52 Rev. 0
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