Amanda and Wim share some money in the ratio 2:5.Wim receives £115.Calculate how much money was shared.
Question
Amanda and Wim share some money in the ratio 2:5.Wim receives £115.Calculate how much money was shared.
Solution
Step 1: Understand the ratio The ratio given is 2:5. This means for every 2 parts that Amanda gets, Wim gets 5 parts.
Step 2: Identify the known value We know that Wim receives £115. This corresponds to the 5 parts in the ratio.
Step 3: Calculate the value of 1 part To find the value of 1 part, we divide Wim's share (£115) by 5. £115 ÷ 5 = £23. So, 1 part is equal to £23.
Step 4: Calculate the total amount shared The total ratio is 2 + 5 = 7 parts. Since 1 part is £23, the total amount shared is 7 parts * £23/part = £161.
So, Amanda and Wim shared £161.
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