Pedro has a total of 645 cents in dollar bills, dimes, and pennies. Which could be the money that he has?
6 one dollar bills, 4 dimes, and 5 pennies
6 one dollar bills, 40 dimes, and 5 pennies
600 one dollar bills, 4 dimes, and 5 pennies
600 one dollar bills, 40 dimes, and 5 pennies

Respuesta :

Answer:

a). The total money he has could be the first option (6 one dollar bills, 4 dimes, and 5 pennies)

b). 1,005 cents≠645 cents

c). 60,045 cents≠645 cents

d). 60,405 cents≠645 cents

Step-by-step explanation:

a). Step 1: Consider the total money for the first option

Total money=6 one dollar+4 dimes+5 pennies

where;

6 one dollar=6×1=6 dollars

1 dime=0.10 dollars,

4 dimes=(4×0.1)=0.40 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(6+0.40+0.05)=6.45 dollars

1 dollar=100 cents

6.45 dollars=(6.45×100)=645 cents

The total money he has could be the first option (6 one dollar bills, 4 dimes, and 5 pennies)

b). Step 2: Consider the total money for the second option

Total money=6 one dollar+40 dimes+5 pennies

where;

6 one dollar=6×1=6 dollars

1 dime=0.10 dollars,

40 dimes=(40×0.1)=4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(6+4+0.05)=10.05 dollars

1 dollar=100 cents

10.05 dollars=(10.05×100)=1,005 cents

1,005 cents≠645 cents

c). Step 3: Consider the total money for the third option

Total money=600 one dollar+4 dimes+5 pennies

where;

600 one dollar=600×1=600 dollars

1 dime=0.10 dollars,

4 dimes=(4×0.1)=0.4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(600+0.4+0.05)=600.45 dollars

1 dollar=100 cents

600.45 dollars=(600.45×100)=60,045 cents

60,045 cents≠645 cents

d). Step 4: Consider the total money for the fourth option

Total money=600 one dollar+40 dimes+5 pennies

where;

600 one dollar=600×1=600 dollars

1 dime=0.10 dollars,

40 dimes=(40×0.1)=4 dollars

1 penny=0.01 dollars

5 pennies=5×0.01=0.05 dollars

replacing;

Total money=(600+4+0.05)=604.05 dollars

1 dollar=100 cents

604.05 dollars=(604.05×100)=60,405 cents

60,405 cents≠645 cents

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