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denis-greek [22]
2 years ago
7

The organizers of a fair projected a 25 percent increase in attendance this year over that of last year, but attendance this yea

r actually decreased by 20 percent. What percent of the projected attendance was the actual attendance? (A) 45% (B) 56% (C) 64% (D) 75% (E) 80%
Mathematics
1 answer:
ch4aika [34]2 years ago
7 0

Answer:

The correct option is C

Step-by-step explanation:

The organizers of a fair projected a 25 percent increase in attendance this year over that of last year

Let x = the attendance for last year

The projected attendance for this year would be last year's attendance + 25% of last year's attendance. This means

Projected attendance for this year

= x + 25/100 × x

= x + 0.25x = 1.25x

But attendance for this year actually decreased by 20 percent.

This means the actual attendance for this year would be

attendance for last year - 20% of attendance for last year. This means

Actual attendance for this year is

x - 20/100 × x

= x - 0.2x = 0.8x

percentage of the projected attendance that was the actual attendance would be

0.8x / 1.25x × 100 = 0.64 × 100

= 64%

The correct option is C

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