Wyatt drew 12 pictures in 5 minutes and Logan drew 14 pictures in 6 minutes. Who is drawing at a faster rate? Show all work.
"Wyatt drew 12 pictures in 5 minutes"
12 pictures in 5 minutes as a ratio is...
"Logan drew 14 pictures in 6 minutes"
14 pictures in 6 minutes as a ratio is...
We need to figure out who drew at a faster rate. Remembering that ratios are fractions we can turn them into fractions.
12/5 and 14/6
We need to make the denominators (or the bases) the same to see who draws faster. So we should multiply the top and bottom by a number!
The least number that 5 and 6 are both multiples with is 30
To turn 12/5 into x/30 we need to multiply the top and bottom by 6
this turns it into 72/30 is Wyatts
To turn 14/6 into x/30 we need to multiply it by 5
this turns into 70/30 is Logans
72 paintings in 30 minutes are greater than 70 paintings in 30 minutes so Wyatt is faster!
Hope this helped