Machine A pops 12.75 ounces of popcorn in 3 minutes. Machine B pops 18 ounces of popcorn in 4 minutes. If each machine pops popcorn for 10 minutes, will there be enough popcorn for eight 9-ounce bags? Explain

Respuesta :

Answer: Yes, there are enough popcorn for eight 9- ounce bags.

Step-by-step explanation:

Since we have given that

From Machine A,

Amount of popcorn  in 3 minutes = 12.75

Amount of popcorn in 1 minute is given by

[tex]\frac{12.75}{3}=4.25\text{ ounces}[/tex]

Amount of popcorn in 10 minutes is given by

[tex]4.25\times 10=42.5\text{ ounces }[/tex]

From Machine B,

Amount of popcorn  in 4 minutes = 18 ounces

Amount of popcorn in 1 minute is given by

[tex]\frac{18}{4}=4.5\text{ ounces}[/tex]

Amount of popcorn in 10 minutes is given by

[tex]4.5\times 10=45\text{ ounces }[/tex]

Total amount of popcorn is given by

[tex]42.5+45=87.5\text{ ounces}[/tex]

Now, there are eight 9-ounce bags means 72 ounces

Since 87.5 ounces is greater than 72 ounces .

So, there are enough for eight 9-ounce bags.

Answer: B, 87.5 is greater than 72 so yes there is enough