aim # 11: how do we solve “coin” and “ticket” problems? 1

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Aim # 11: How Do We Solve “Coin” and “Ticket” Problems?

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YourGateway

ToRelaxation

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ZoombasAnkas

5

ZoombasAnkas

6

ZoombasAnkas

7

ZoombasAnkas

8

ZoombasAnkas

9

ZoombasAnkasA

8 −A

Total # of Ankas + Total # of Zoombas = Total # of Coins

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Zoombas=$0.35Ankas = $0.12

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Zoombas=$0.35Ankas = $0.12

12

Zoombas=$0.35Ankas = $0.12

0.12(1) + 0.35(7) = 2.57

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Zoombas=$0.35Ankas = $0.12

14

Zoombas=$0.35Ankas = $0.12

0.12(2) + 0.35(6) = 2.34

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Zoombas=$0.35Ankas = $0.12

0.12(3) + 0.35(5)= 2.11

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Zoombas=$0.35Ankas = $0.12

0.12(3) + 0.35(8 −3) = 2.11

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Zoombas=$0.35Ankas = $0.12

Total $ValueOf Ankas

Total Amtin US $

A 8 −A

0.12(A) + 0.35(8− A) = $

Total $ValueOf Zoombas+ =

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Value Per

CoinX

Number Of

Coins=

Total Value

OfThe

Coins

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Value Per

That Type of

Coin

XNumber

OfThat

Type ofCoin

=

Total Value

OfThat

Type ofCoin

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TotalValue

ofCoin #1

+Total

Value Of

Coin #2

=

TotalValue

OfAll Coins

PutTogether

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Ex # 1

Your uncle is jingling the coins in his pocket and asks you a riddle. “I have 30 coins in my pocket. They are pennies and quarters. The thirty coins add up to $ 4. 86. How many of each coin do I have?

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Ex # 2

In the game Monopoly, I own 7 more hotels than I own houses. My hotels cost me $450 each, and my houses cost me $160 each. If I spent a total of $5,590, how many hotels and how many houses did I purchase?

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Ex # 3

Three-hundred fifty adults and children attended the school play. The revenue from selling the tickets was $1,650. If adult’s tickets were $6 each, and children’s tickets were $3 each, how many adults and how many children attended the school play?

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Ex # 4

Your brother says he has $2.65 in his Spongebob Bank. You know he has only nickels and dimes in the bank, and he has a total of 33 coins. How many nickels and how many dimes are in your brother’s bank?

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Textbook:

Problems

p. 423, qq. 3, 4, 5p. 434, qq. 7, 8