Question

Use proportion to solve the problem 71% of 67

Answer 1

71/100 = x/67, where x is the number that is 71% of 67.

Cross multiply.

100x=4757

x=47.57

Answer 2

`(4757)/(100)=47.57`

Explanation:

We will use proportions which is the name we give to two ratios (that can be written as fractions) that are equal like this

`(a)/(b)=(c)/(d)`

this proportion is true if the ratio between
`a` and
`b` is the same as the ratio between
`c` and
`d` (a ratio says how much of one thing there is compared to other thing)

We need two ratios to solve this, the first would be the one given which is 71%. This one means there is 71 things out of a 100 things
`(71:100)`. we need to do the same for 67 which would be our new 100 things and we would find the 71 things out of this 100 things
`(x:67)`.

rewritten in fractions:

`(71)/(100)=(x)/(67)`

With this proportion we can find which value corresponds to the 71% of 67 things by just solving for
`x`:

`(71*67)/(100)=x\\(4757)/(100)=x\\x=(4757)/(100)\\x=47.57`