Questions: For every 5 coins Carmen gets she gives her brother 2. If Carmen has 9 coins how many does her brother have?

Solution Steps

Carmen gives her brother 2 coins for every 5 coins she receives. This means the ratio of Carmen's coins to her brother's coins is \(5:2\).

Carmen has 9 coins. To find out how many times the ratio applies, divide the number of coins Carmen has by the number of coins in the ratio: \[ \frac{9}{5} = 1.8 \]

Multiply the result from Step 2 by the number of coins her brother receives in the ratio: \[ 1.8 \times 2 = 3.6 \]

Since the number of coins must be a whole number, we round to the nearest whole number: \[ 3.6 \approx 4 \]

Final Answer