Quantity, percentage, percentage value: Two changes in percentages

To solve this problem, we'll sequentially apply the discounts.

• Step 1: Calculate the store discount (20% off).

• Step 2: Apply the membership discount (additional 10% off) on the reduced price.

Let's calculate:

Step 1: The store discount is 20%, so the price after the store discount is:

$\text{Price after 20\% discount} = \$150 \times (1 - 0.20)$

$\text{Price after 20\% discount} = \$150 \times 0.80 = \$120$

Step 2: With the membership card, Daniel gets an extra 10% discount on the already reduced price of $\$120$.

$\text{Price after additional 10\% discount} = \$120 \times (1 - 0.10)$

$\text{Price after additional 10\% discount} = \$120 \times 0.90 = \$108$

Therefore, the total amount Daniel needs to pay is $\$108$.

Hence, the correct choice is $2$: $108 \, \$$.

To solve this problem, we'll follow these steps:

• Step 1: Calculate the price after the first discount.
• Step 2: Calculate the price after the additional membership discount.

Now, let's work through each step:

Step 1: Apply the first discount of 30% to the original price of $94.
The price after a 30% discount is calculated as follows:

$\text{Price after first discount} = 94 \times (1 - 0.30) = 94 \times 0.70 = 65.8 \text{ dollars}$

Step 2: Apply the additional membership discount of 10% to the new price.
The final price after the additional 10% discount is calculated as follows:

$\text{Final discounted price} = 65.8 \times (1 - 0.10) = 65.8 \times 0.90 = 59.22 \text{ dollars}$

Therefore, the discounted price Andrew will pay is $59.22$ dollars.