Question

If 4 daps are equivalent to 3 dops, and 2 dops are equivalent to 7 dips, how many daps are equivalent to 42 dips?

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Answer 1

To find out how many daps are equivalent to 42 dips, we need to use the given conversion rates. First, 4 daps = 3 dops, and then 2 dops = 7 dips. By combining these conversion rates and performing the necessary calculations, we find that 42 dips are equivalent to 16 daps.

Step-by-step explanation:

To find out how many daps are equivalent to 42 dips, we need to use the given conversion rates. First, 4 daps = 3 dops, and then 2 dops = 7 dips.

Let's start by converting dips to dops. Since 2 dops = 7 dips, we can write 1 dip = 2/7 dops.

Now, to convert dops to daps, we know that 4 daps = 3 dops, so 1 dop = 4/3 daps.

Combining the two conversion rates, we get 1 dip = (2/7 dops) x (4/3 daps) = 8/21 daps.

Now, we can find how many daps are equivalent to 42 dips by multiplying:

42 dips x (8/21 daps/1 dip) = 16 daps.

Therefore, 42 dips are equivalent to 16 daps.

Answer 2

Starting with the provided equivalences, the conversion between daps and dips is calculated, and it is found that 4 daps are equivalent to 42 dips.

Step-by-step explanation:

The question given is related to the conversion of different fictional units: daps, dops, and dips. We use the given information to set up a conversion ratio.

Firstly, we have that 4 daps are equivalent to 3 dops. Additionally, 2 dops are equivalent to 7 dips. Our goal is to find out how many daps are equivalent to 42 dips.

To start, we convert dops to dips using the second equivalence: 1 dop = 7 dips / 2. We then find the conversion rate from daps to dips by combining the two ratios: 4 daps = 3 dops = (3 \(\times\) 7 dips) / 2 = 10.5 dips.

Now that we know the conversion rate between daps and dips, we can calculate the number of daps that are equivalent to 42 dips:

number of daps = 42 dips / (10.5 dips per dap) = 4 daps.

Hence, 4 daps are equivalent to 42 dips.