Question

The store has put up a robotics kit on sale for 25% off the original price of $250, AND you have a coupon for an additional 20% off the price of any item at a store.
A. How much will you pay for the robotics kit if you use your coupon?

B. In all, by how much has the robotics kit been discounted in dollars?

C. After both discounts were taken, what was the total percent discount?

Answer 1

A. If you use only the coupon you will have to pay $137.50.

B. Using the Coupon during the sale, the kit is discounted by $112.50

C. The total percent discount is 45% after both discounts.

Step-by-step explanation:

Step 1; The store has the robotics kit for a sale of 25% off $250. So we need to find how much 25% is in terms of $250. To do that we convert 25% into a fraction by dividing it by 100 and multiplying it with $250.

25% of  $250 = $\frac{25}{100}$ × $250 = 0.25 × $250 = $62.50

So we find the cost of the kit due to the store's discount. To do that we subtract the discounted price from the original price.

Robotics kit price after 25% discount = $250 - $62.50 = $187.50.

Step 2; A coupon you have gives you an additional 20% discount. So the robotics kit can be brought for 25% off due to the sale at the store, due to this coupon you get an additional 20%. So you get a 45% discount off $250.

45% of  $250 = $\frac{45}{100}$ × $250 = 0.45 × $250 = $112.50.

So to find the total discount we subtract this $112.50 from the non-discounted cost of $250.

Total discounted price = $250 - $112.50 = $137.50.