Answer :
Final answer:
Noah can find the lowest amount to pay for 84 pencils by calculating the total cost of each purchasing option and comparing them. The lowest amount he can pay is 17.20 pounds by using Option 2; buying packs of 10 pencils and the additional 4 pencils separately.
Explanation:
Noah wants to buy exactly 84 pencils and is considering two options. The goal is to calculate the lowest amount he can pay in pounds. We can calculate the cost of pencils using both options and then compare them to find the lowest cost.
Option 1: Each pencil costs 30 pence. Therefore, buying 84 pencils would cost 84 × 30 pence. To convert pence to pounds, we divide by 100 (since there are 100 pence in a pound). So, the total cost in pounds would be (84 × 30)/100 = 25.20 pounds.
Option 2: A pack of 10 pencils costs 2 pounds. To buy 84 pencils, Noah would need 8 packs of 10 and an additional 4 pencils. The cost for the packs would be 8 × 2 pounds = 16 pounds. The additional 4 pencils would have to be bought separately at 30 pence each, which is 4 × 30 pence = 120 pence or 1.20 pounds when converted to pounds. Thus, the total cost of buying with Option 2 would be 16 + 1.20 = 17.20 pounds.
Comparing the total costs, 17.20 pounds from Option 2 is lower than 25.20 pounds from Option 1. Therefore, the lowest amount Noah can pay is 17.20 pounds.
