Question

Kurt and Maria's high school is having a newspaper drive.The goal is to collect 3,585 pounds of newspapers. So far, 21% of the goal has been reached. Kurt estimated the number of pounds of newspapers collected by finding 10% of 3,600 and then multiplying the result by 2. Maria estimated the number of pounds of newspapers collected by finding One-fifth of 3,600.

Answer 1

Options:

Who is right, and why?

a. Neither Kurt nor Maria is right, because 3,500 should be used instead of 3,600.

b. Kurt is right, because finding 1/5 of 3,600 is not a good way to approximate 21% of 3,585.

c. Maria is right, because finding 10% of 3,600 and multiplying the result by 2 is not a good way to approximate 21% of 3,585.

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Answer:

d. Both Kurt and Maria are right, because 3,585 should be rounded up to 3,600, and 21% of this amount can be approximated by either finding 10% of 3,600 and multiplying the result by 2 or by finding 1/5 of 3,600.

Step-by-step explanation:

Given

$Goal = 3585$

$Collected = 21\%$

$Kurt= 10\% * 3600 * 2$

$Maria = \frac{1}{5} * 3600$

Required [Missing from the question]

Who is correct and why?

First, we calculate the actual amount collected.

$Actual = Collected * Goal$

$Actual = 21\% * 3585$

$Actual = 752.85$

$Actual = 753$ --- approximate

Next, determine the estimate (round 3585 to 3600 and 21% to 20%)

$Estimate = 20\% * 3600$

$Estimate = 720$

Next, calculate Kurt and Maria's estimates

$Kurt= 10\% * 3600 * 2$

$Kurt = 720$

$Maria = \frac{1}{5} * 3600$

$Maria = 720$

Hence, Kurt and Maria are correct because of option (d)