Question

you have 42 coins valued at $3.00/ Some of the coins are dimes and some are quarters. which system of equations could you use to determine the number of dimes and the number of quarters you have?

A) 0.10d+0.25q=42 and d+q=3
B) d+q=42 and 0.10d+0.25q=3
C) d+q=42 and d+q=3
D) d+q=42 and 0.25d+ 0.10q=3

Answer 1

Answer:

the answer is answer choice B.

Answer 2

Using a system of equations, the number of dimes and quarters can be determined using the expressions :

• d + q = 42
• 0.10d + 0.25q = 3

Recall :

• 1 Quarter = 0.25 dollars
• 1 dime = 0.10 dollars
• Let ; number of dimes = d ; number of quarters = q

Total number of coins = 42 ;

• d + q = 42 - - - (1)

Total worth of coin = $3.00 :

• 0.10d + 0.25q = 3 - - - - (2)

Hence, equations (1) and (2) can be used to determine the number of quarters and dime.

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