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The ratio of Anisa to Miko’s savings is 1:4. the ratio of Miko to Matthew’s savings is 6:5. find the ratio of Anisa’s to Matthew’s savings.

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Final answer:

To find Anisa's to Matthew's savings ratio, we assume Miko has 24 units of savings to work with common multiples, leading to Anisa having 6 units and Matthew having 20 units. Hence, Anisa to Matthew's savings ratio is 3:10 after simplification.

Step-by-step explanation:

The question involves calculating ratios to determine the relationship between Anisa’s and Matthew’s savings. We are given two ratios: the first ratio is Anisa’s savings to Miko’s savings, which is 1:4, and the second ratio is Miko’s savings to Matthew’s savings, which is 6:5.

To find Anisa’s to Matthew’s savings ratio, we need to use these two ratios. We can represent Anisa’s savings as 'A', Miko’s savings as 'M', and Matthew’s savings as 'Mt'.

Using the given ratios, A:M = 1:4, and M:Mt = 6:5.

Let's assign a common variable to Miko’s savings in both ratios - for instance, we can assume Miko has '24' units of savings, which is a common multiple of '4' and '6'.

Then Anisa has '6' units of savings (since 24 divided by 4 is 6), and Matthew has '20' units of savings (since 24 divided by 6 multiplied by 5 is 20).

Therefore, the ratio of Anisa’s to Matthew’s savings is 6:20 which simplifies to 3:10.

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