The science center has 200 people in attendance on Monday. The center expects Saturday’s attendance to be 140 percent of Monday’s attendance. Natasha is trying to figure out how many people will be in attendance. Her work is shown below.

Question

StartFraction part Over whole EndFraction = StartFraction 140 Over 100 EndFraction

StartFraction 140 divided by 2 Over 100 times 2 EndFraction = StartFraction question mark Over 200 EndFraction

140 divided by 2 = 70

70 people will be in attendance.

What mistake did Natasha make?
Natasha should have multiplied 140 by 2.
Natasha should have divided 100 by 2.
Natasha should have added 140 and 200.
Natasha should have multiplied 140 and 200.

Answer 1

Natasha made a mistake in her calculation by incorrectly using the fractions while trying to find the expected attendance. The correct approach requires calculating 140 percent of Monday's attendance, which is 200 people.

To find 140 percent of Monday's attendance:

1. Convert 140 percent to a decimal: 140% = 140/100 = 1.4.
2. Multiply this decimal by the attendance on Monday: 1.4 * 200 = 280.

Therefore, the expected attendance on Saturday would be 280 people, not 70 as Natasha calculated.

Among the provided options, the most appropriate choice regarding Natasha's mistake is:

Natasha should have multiplied 140 by 2.

However, it is essential to clarify that she should have multiplied 200 by 1.4 (or directly calculated 140% of 200) to find the correct attendance.