Answer:
[tex]\text { Sam ate } 3 \frac{1}{3} \text { pies in one minute. }[/tex]
Step-by-step explanation:
[tex]\text { At a pie eating contest sam ate }=12 \frac{1}{2} \text { pies in } 3 \frac{3}{4} \text { minutes }[/tex]
[tex]12 \frac{1}{2} \text { it means } \frac{25}{2}[/tex]
[tex]3 \frac{3}{4} \text { it means } \frac{15}{4}[/tex]
Let x be the number of pies ate in one minute.
[tex]\text { He ate } \frac{25}{2} \text { pies in } \frac{15}{4} \text { minutes. }[/tex]
We need to find x pies in 1 minute.
Now we can find number pies x
[tex]\frac{25}{2} \text { pies }=\frac{15}{4} \text { minutes }[/tex]
x pies = 1 minute
By cross multiplying we get,
[tex]\frac{25}{2} \times 1=\frac{15}{4} \times x[/tex]
[tex]x=\frac{25 \times 4}{2 \times 15}[/tex]
[tex]\text { The number pies ate in one minute }=\frac{100}{30}[/tex]
[tex]\text { The number pies ate in one minute }=\frac{10}{3}[/tex]
[tex]\text { He spend time on eating each pie }=3 \frac{1}{3} \text { pies }[/tex]
[tex]\text { Therefore, sam ate } 3 \frac{1}{3} \text { pies in one minute. }[/tex]
