Question

Dollar is worth three and 3 1/2 kruneros. What is the value of 43 3/4 kruneros?

Answer 1

Question:

One dollar is worth 3 1/2 kruneros. What is the value of 43 3/4 kruneros?

Answer:

The value of
`43(3)/(4)` kruneros is 12.5 dollars

Solution:

Given that,

Dollar is worth three and 3 1/2 kruneros

Which means,

`1 \text{ dollar } = 3(1)/(2) \text{ kruneros }\\\\1 \text{ dollar } = 3.5 \text{ kruneros }`

We have to find the value of
`43(3)/(4)` kruneros

Let us convert the mixed fractions to improper fractions

Multiply the whole number part by the fraction's denominator.

Add that to the numerator.

Then write the result on top of the denominator.

`43(3)/(4) = (43 * 4 + 3)/(4) = (175)/(4) = 43.75`

So we have to find the value of 43.75 kruneros

Let "x" be the value of 43.75 kruneros

Then,

1 dollar = 3.5 kruneros

x dollar = 43.75 kruneros

This forms a proportion and we can solve the sum by cross multiply

`1 * 43.75 = x * 3.5\\\\x = (43.75)/(3.5)\\\\x = 12.5`

Thus value of
`43(3)/(4)` kruneros is 12.5 dollars