Question

If 1.4 cookies correspond to 87.9 apples, and 46.6 bananas equate to 7.84 apples, and further, 7.36 bananas are equivalent to 5.51 donuts, how many donuts are equal to 7.32 cookies?

A. 4.89
B. 5.21
C. 6.12
D. 6.45

Answer 1

If 1.4 cookies correspond to 87.9 apples, and 46.6 bananas equate to 7.84 apples, and further, 7.36 bananas are equivalent to 5.51 donuts then The correct answer is (A) 4.89 donuts.

Step-by-step explanation:

To determine the number of donuts equivalent to 7.32 cookies, we can use the given conversion ratios. First, find the conversion factor from cookies to apples:

1.4 cookies/87.9 apples. Next, convert apples to bananas using the ratio 46.6 bananas/7.84 apples. Finally, convert bananas to donuts with the ratio 7.36 bananas/5.51 donuts.

Now, multiply these conversion factors together:

1.4/87.9 × 46.6/7.84 × 7.36/5.51 × 7.32

After the calculation, we get the equivalent in donuts, which is approximately 4.89. Therefore, the correct answer is (A) 4.89 donuts.

In conclusion, by systematically applying the given conversion ratios and multiplying them together, we can find the number of donuts equivalent to 7.32 cookies. The answer, 4.89 donuts, is obtained by careful calculation using the provided information.

Answer 2

To determine how many donuts equal 7.32 cookies, conversion among apples, bananas, and donuts is done using given equivalences to find a common unit. The number of donuts is calculated to be approximately 6.32, which makes the closest option (D) 6.45 donuts.

Step-by-step explanation:

To solve the problem, we need to find a common unit to convert cookies to donuts. We are given the following relationships:

• 1.4 cookies correspond to 87.9 apples.
• 46.6 bananas equate to 7.84 apples.
• 7.36 bananas are equivalent to 5.51 donuts.

First, we find the number of apples that equate to 7.32 cookies by setting up a proportion since the relationship is directly proportional:

87.9 apples / 1.4 cookies = X apples / 7.32 cookies

X = (87.9 apples / 1.4 cookies) * 7.32 cookies

X = 459.42 apples

Next, we convert apples to bananas:

7.84 apples / 46.6 bananas = 459.42 apples / Y bananas

Y = (46.6 bananas / 7.84 apples) * 459.42 apples

Y = 2720.03 bananas

Now we convert bananas to donuts:

7.36 bananas / 5.51 donuts = 2720.03 bananas / Z donuts

Z = (5.51 donuts / 7.36 bananas) * 2720.03 bananas

Z = 2025.89 donuts

Finally, we find how many donuts are equal to one cookie, then multiply by 7.32 (the number of cookies we're converting):

2025.89 donuts / 2720.03 bananas * 1.4 cookies = 1 cookie / A donuts

A = (2720.03 bananas / 2025.89 donuts) / 1.4 cookies

A = 0.864 donuts per cookie

Therefore, 7.32 cookies * 0.864 donuts/cookie ≈ 6.32 donuts.

The closest answer to 6.32 is option 6.45 donuts (D).