A person has a bag containing quarters and dimes. There are a total of 72 coins in the bag, and the total value of the coins is $13.20. Determine how many quarters and dimes are in the bag.
1 answer:
Answer:
Step-by-step explanation:
<u>Given:</u>
Quarter = 25 ¢, number of quarters = q Dime = 10 ¢, number of dimes = d Total amount = $13.20 = 1320 ¢ <u>Required equations:</u>
q + d = 72 25q + 10d = 1320 <u>Solve by elimination, multiply the first equation by 10 and subtract from the second equation:</u>
25q + 10d - 10q - 10d = 1320 - 10*72 15q = 600 q = 600/15 q = 40 <u>Find p:</u>
40 + p = 72 p = 72 - 40 p = 32
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You would solve this with multiplication. If each desk costs $24 and they bought 32 desks then to find out to total cost of all the desks you would multiply 24x32
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