Roberto is going to go on holiday.He has two coupons that will save him money on his holiday. Coupon A 18% off the cost of the accommodationCoupon B 12.5% off the total cost of the accommodation and the flightsFor Roberto’s holidaythe cost of the accommodation is $1600 the cost of the flights is $800Roberto can only use one of the coupons. He wants to save as much money as he can.(b) Which of the two coupons, A or B, should he use? Show your working clearly.
Question
Roberto is going to go on holiday.He has two coupons that will save him money on his holiday. Coupon A 18% off the cost of the accommodationCoupon B 12.5% off the total cost of the accommodation and the flightsFor Roberto’s holidaythe cost of the accommodation is 800Roberto can only use one of the coupons. He wants to save as much money as he can.(b) Which of the two coupons, A or B, should he use? Show your working clearly.
Solution
To determine which coupon will save Roberto the most money, we need to calculate the savings for each coupon.
For Coupon A: This coupon offers 18% off the cost of the accommodation. So, we calculate 18% of 1600 = 288 on his accommodation.
For Coupon B: This coupon offers 12.5% off the total cost of the accommodation and the flights. So, we first need to calculate the total cost of the accommodation and the flights, which is 800 = 2400. 0.125 * 300 So, Coupon B will save Roberto $300 on his holiday.
Comparing the two, Coupon B saves Roberto more money than Coupon A. Therefore, Roberto should use Coupon B.
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