The ratio of Ali to Ahmad's savings is 2 : 5. The ratio of Ahmad to Arif's savings is 3 : 4. Find the ratio of Ali to Arif's savings. (Please leave your answer in the simplest ratio.)
Question
The ratio of Ali to Ahmad's savings is 2 : 5. The ratio of Ahmad to Arif's savings is 3 : 4. Find the ratio of Ali to Arif's savings. (Please leave your answer in the simplest ratio.)
Solution
To find the ratio of Ali to Arif's savings, we need to multiply the two given ratios.
Step 1: Write down the given ratios. Ali : Ahmad = 2 : 5 Ahmad : Arif = 3 : 4
Step 2: Multiply the two ratios. (Ali : Ahmad) x (Ahmad : Arif) = (2 : 5) x (3 : 4)
Step 3: Multiply the corresponding terms. Ali : Arif = (2 x 3) : (5 x 4) = 6 : 20
Step 4: Simplify the ratio. 6 : 20 can be simplified by dividing both terms by their greatest common divisor, which is 2. So, Ali : Arif = 6/2 : 20/2 = 3 : 10
Therefore, the ratio of Ali to Arif's savings is 3 : 10.
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