Question

to deal with growing expenses, a theme park manager needs to raise the $16.00 entry fee by %. what will the new fee be? a $16.26 b $18.60 c $20.00 d $20.16 5. a pair of pants originally priced at $120 is discounted to $90. what is the discount, as a percentage, on the pair of pants? a 13% b 20% c 25% d 30%

Explanation:

Step1: Identify missing percentage (Q1)

Looking at the answer options, reverse-calculate the percentage increase for the $16.00 fee:
Test 26% increase:
$$16 \times (1 + 0.26) = 16 \times 1.26 = 20.16$$
This matches option D, so the missing percentage is 26%.

Step2: Calculate new entry fee (Q1)

Compute the increased fee:
$$16 \times 1.26 = 20.16$$

Step3: Find discount amount (Q2)

Subtract discounted price from original:
$$120 - 90 = 30$$

Step4: Calculate discount percentage (Q2)

Divide discount by original price, multiply by 100:
$$\frac{30}{120} \times 100 = 25\%$$

Answer:

1. D $20.16
2. C 25%