To solve this problem, we need to substitute the given ratio into the expressions in the question.

Step 1: Given that a:b = 3:2. This means that a=3k and b=2k for some constant k.

Step 2: Substitute a and b into the expressions (5a+2b) and (3a+4b).

For (5a+2b), substituting a=3k and b=2k gives 5(3k) + 2(2k) = 15k + 4k = 19k.

For (3a+4b), substituting a=3k and b=2k gives 3(3k) + 4(2k) = 9k + 8k = 17k.

Step 3: The ratio (5a+2b):(3a+4b) is therefore 19k:17k, which simplifies to 19:17.

So, the answer is 19:17.

Question

To solve this problem, we need to substitute the given ratio into the expressions in the question.

Step 1: Given that a:b = 3:2. This means that a=3k and b=2k for some constant k.

Step 2: Substitute a and b into the expressions (5a+2b) and (3a+4b).

For (5a+2b), substituting a=3k and b=2k gives 5(3k) + 2(2k) = 15k + 4k = 19k.

For (3a+4b), substituting a=3k and b=2k gives 3(3k) + 4(2k) = 9k + 8k = 17k.

Step 3: The ratio (5a+2b):(3a+4b) is therefore 19k:17k, which simplifies to 19:17.

So, the answer is 19:17.

Knowee AI · Accepted Answer

To solve this problem, we need to substitute the given ratio into the expressions in the question.

Step 1: Given that a:b = 3:2. This means that a=3k and b=2k for some constant k.

Step 2: Substitute a and b into the expressions (5a+2b) and (3a+4b).

For (5a+2b), substituting a=3k and b=2k gives 5(3k) + 2(2k) = 15k + 4k = 19k.

For (3a+4b), substituting a=3k and b=2k gives 3(3k) + 4(2k) = 9k + 8k = 17k.

Step 3: The ratio (5a+2b):(3a+4b) is therefore 19k:17k, which simplifies to 19:17.

So, the answer is 19:17.

If 𝒂:𝒃=𝟑:𝟐, then (𝟓𝒂+𝟐𝒃):(𝟑𝒂+𝟒𝒃) is equal to?Options16:1519:1717:148:7