Q:

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 pennies6 one dollar bills, 40 dimes, and 5 pennies600 one dollar bills, 4 dimes, and 5 pennies600 one dollar bills, 40 dimes, and 5 pennies

Accepted Solution

A:
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 centsc). 60,045 cents≠645 centsd). 60,405 cents≠645 centsStep-by-step explanation:a). Step 1: Consider the total money for the first optionTotal money=6 one dollar+4 dimes+5 pennieswhere;6 one dollar=6×1=6 dollars1 dime=0.10 dollars, 4 dimes=(4×0.1)=0.40 dollars1 penny=0.01 dollars5 pennies=5×0.01=0.05 dollarsreplacing;Total money=(6+0.40+0.05)=6.45 dollars1 dollar=100 cents6.45 dollars=(6.45×100)=645 centsThe 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 optionTotal money=6 one dollar+40 dimes+5 pennieswhere;6 one dollar=6×1=6 dollars1 dime=0.10 dollars, 40 dimes=(40×0.1)=4 dollars1 penny=0.01 dollars5 pennies=5×0.01=0.05 dollarsreplacing;Total money=(6+4+0.05)=10.05 dollars1 dollar=100 cents10.05 dollars=(10.05×100)=1,005 cents1,005 cents≠645 centsc). Step 3: Consider the total money for the third optionTotal money=600 one dollar+4 dimes+5 pennieswhere;600 one dollar=600×1=600 dollars1 dime=0.10 dollars, 4 dimes=(4×0.1)=0.4 dollars1 penny=0.01 dollars5 pennies=5×0.01=0.05 dollarsreplacing;Total money=(600+0.4+0.05)=600.45 dollars1 dollar=100 cents600.45 dollars=(600.45×100)=60,045 cents60,045 cents≠645 centsd). Step 4: Consider the total money for the fourth optionTotal money=600 one dollar+40 dimes+5 pennieswhere;600 one dollar=600×1=600 dollars1 dime=0.10 dollars, 40 dimes=(40×0.1)=4 dollars1 penny=0.01 dollars5 pennies=5×0.01=0.05 dollarsreplacing;Total money=(600+4+0.05)=604.05 dollars1 dollar=100 cents604.05 dollars=(604.05×100)=60,405 cents60,405 cents≠645 cents