The ratio of the muffins Baker A baked to the number of muffins Baker B baked was 8 : 5. The ratio of the number of muffins Baker B baked to the number of muffins BAker C baked was 4 : 3. If Baker C baked 150 muffins, how many more muffins did Baker A bake than Baker C?

Answer:

170 muffins

Step-by-step explanation:

We start from the ratio between baker B and C

The ratio of cakes baked by both is 4:3.

We know baker C baker 150 muffins:

This mathematically means:

B:C = 4:3 = B:150

This means 4/3 = B/150

B = (4 * 150)/3 = 200

Baker B baked 200 cakes

We now move back to the first statement

The ratio between baker A and B is 8:5

Mathematically, this means:

A:B = 8:5 = A:200

8/5 = A/200

A = (8 * 200)/5 = 320

The number of cakes baker A baker pass baker C would be 320 - 150 = 170 muffins

Final answer:

To solve the problem, use the given ratios to calculate the quantity of muffins each baker baked. Then compare the quantities to find the difference. The result is that Baker A baked 170 more muffins than Baker C.

Explanation:

In this question, you're given two ratios involving three bakers: A, B, and C. First, let's figure out how many muffins Baker B baked. We know that for every 4 muffins Baker B baked, Baker C baked 3 muffins. This gives us the ratio 4 : 3 for Baker B to Baker C. Since we know that Baker C baked 150 muffins, we can set up a simple proportion: 4/3 = B/150. Solving this proportion, we find that Baker B baked 200 muffins.

Now let's tackle the ratio of muffins baked by Baker A to Baker B, which is given as 8 : 5. Again, we can set up a proportion: 8/5 = A/200. Solving this, we find that Baker A baked 320 muffins.

The question asks how many more muffins Baker A baked than Baker C. Given that Baker A baked 320 muffins and Baker C baked 150 muffins, the difference is 320 - 150, which gives us 170. So, Baker A baked 170 more muffins than Baker C.

Learn more about Ratio calculations here:

brainly.com/question/31549749

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