contestada

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

Respuesta :

12.75*3= 38.25oz
18*2=36+9=45oz
83.25/9=9.25

calculista

Answer:

Yes, there's enough popcorn for eight 9-ounce bags

Step-by-step explanation:

we know that

Eight 9-ounce bags is equal to

[tex]8*9=72\ ounces[/tex]

so

By proportion find the amount of popcorn made by each machine

Machine A

[tex]\frac{12.75}{3}=\frac{x}{10}\\ \\x=12.75*10/3\\ \\x=42.5\ ounces[/tex]

Machine B

[tex]\frac{18}{4}=\frac{x}{10}\\ \\x=18*10/4\\ \\x=45\ ounces[/tex]

so

[tex]42.5\ ounces+45\ ounces=87.5\ ounces[/tex]

[tex]87.5\ ounces> 72\ ounces[/tex]

therefore

There's enough popcorn for eight 9-ounce bags

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