Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions.
-Aviva has a total of 70 coins, all of which are either dimes or nickels. The total value of the coins is \$5.95. Find the number of each type of coin.
A) 26 nickels; 44 dimes
B) 21 nickels; 49 dimes
C) 23 nickels; 47 dimes
D) 49 nickels; 21 dimes

Question

Quizplus · Accepted Answer

The total value of the coins is $5.95, which is 595 cents. Since the problem involves nickels (5 cents) and dimes (10 cents), and we know the total number of coins is 70, we can set up an equation to represent this situation. However, without solving it directly, we can check which option gives us a total of 70 coins and adds up to 595 cents. Option B, with 21 nickels (21*5 = 105 cents) and 49 dimes (49*10 = 490 cents), adds up to 595 cents and totals 70 coins.

Without Actually Solving the Problem, Choose the Correct Solution by Deciding