Question

Chloe and Robin converted some pounds (£) into US dollars ($) at two different shops. Chloe converted £53 into $73.14 at shop A. Robin converted £27 into $34.83 at shop B. Darcy converted £140 into dollars at one of these shops. What is the largest amount that Darcy could have received?​

Answer 1

We can use the exchange rates from Chloe and Robin's transactions to figure out which shop would give Darcy the most dollars for her £140.

First, we need to find the exchange rates for shop A and shop B:

Exchange rate for shop A = $73.14 ÷ £53 ≈ $1.38/£

Exchange rate for shop B = $34.83 ÷ £27 ≈ $1.29/£

Next, we can use these exchange rates to determine how much Darcy would receive at each shop:

Amount Darcy would receive at shop A = £140 × $1.38/£ = $193.20

Amount Darcy would receive at shop B = £140 × $1.29/£ = $180.60

Therefore, the largest amount that Darcy could have received is $193.20 if she converted her £140 at shop A.