Respuesta :
71/100 = x/67, where x is the number that is 71% of 67.
Cross multiply.
100x=4757
x=47.57
Cross multiply.
100x=4757
x=47.57
Answer:
[tex]\frac{4757}{100}=47.57[/tex]
Step-by-step 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
[tex]\frac{a}{b}=\frac{c}{d}[/tex]
this proportion is true if the ratio between [tex]a[/tex] and [tex]b[/tex] is the same as the ratio between [tex]c[/tex] and [tex]d[/tex] (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 [tex](71:100)[/tex]. 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 [tex](x:67)[/tex].
rewritten in fractions:
[tex]\frac{71}{100}=\frac{x}{67}[/tex]
With this proportion we can find which value corresponds to the 71% of 67 things by just solving for [tex]x[/tex]:
[tex]\frac{71*67}{100}=x\\\frac{4757}{100}=x\\x=\frac{4757}{100}\\x=47.57[/tex]