Question

In a dance contest in which 53,000 votes were cast, the winner received 3/5 of votes. How many votes did the winner not receive? (Incorrect solution: 3/5 x 53,000 = 3/5 x 53,000/1 = 3x53,000/ 5 x 1 = 31,800) ( explain error please and add correct work/solution and if you could share a strategy you used? Thanks!!)

Answer 1

The error in the incorrect solution is multiplying 3/5 by the total number of votes. The correct solution is subtracting the votes received by the winner from the total votes.

Step-by-step explanation:

The error in the incorrect solution is that it incorrectly multiplies 3/5 by the entire 53,000 votes.

To find out how many votes the winner did not receive, we need to subtract the number of votes the winner received from the total number of votes.

Correct Solution: Total votes - Votes received by the winner = Number of votes not received by the winner
53,000 - (3/5 x 53,000) = 53,000 - 31,800 = 21,200

Answer 2

21,200

Step-by-step explanation:

Votes casted = 53000

Votes received = 3/5

Votes did not receive = 1- 3/5 = (5-3)/5 = 2/5

Total votes not received by winner

= 53000 *2/5

= 10,600 * 2

= 21,200