Yanni is making formula for the baby . each bottle contains 6 2/5 (mixedfraction) scoops of formula . the formula container holds 320 scoops of formula . how many bottles of formula can yanni make ?

Respuesta :

320=6 and 2/5 times number of bottles
convert to imroper
6 and 2/5=6+2/5=30/5+2/5=32/5
320=32/5 times number of bottles
times both sides by 5/32 to clear fraction (5/32 times 32/5=160/160=1)
1600/32=number of bottles
50=numberof bottles

50 bottles

Answer:

Hence, the number of bottles yani can make are: 50

Step-by-step explanation:

Yanni is making formula for the baby .

Each bottle contains 6 2/5 (mixed fraction) scoops of formula .

i.e.

[tex]6\dfrac{2}{5}=\dfrac{6\times 5+2}{5}\\\\i.e.\\\\6\dfrac{2}{5}=\dfrac{32}{5}[/tex]

scoops of formula.

Also, the capacity of the formula container is: 320 scoops of formula.

Hence, the number of bottles of formula yanni can make is:

Ratio of the capacity of container to the number of scoops of formula required to make 1 bottle.

i.e.

[tex]Number\ of\ bottles=\dfrac{320}{\dfrac{32}{5}}\\\\Number\ of\ bottles=\dfrac{320\times 5}{32}\\\\i.e.\\\\Number\ of\ bottles=50[/tex]