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bija089 [108]
2 years ago
14

Which of the linear equations expresses the situation? Alliance Cannery received an order for 384 cans of food. The order can be

made up of a combination of cans of fruit, which are processed at a rate of 24 cans per minute, and cans of vegetables, which are processed at a rate of 64 cans per minute.
x = number of minutes for fruit cans
y = number of minutes for vegetable cans
Mathematics
2 answers:
romanna [79]2 years ago
9 0

The second option, 24x + 64y = 384

kirill [66]2 years ago
3 0

Answer:

24x+64y=384

Step-by-step explanation:

Let x = number of minutes for fruit cans

Let y = number of minutes for vegetable cans

Cans of fruit, which are processed at a rate of 24 cans per minute, making them 24x

Cans of vegetables, which are processed at a rate of 64 cans per minute, making them 64y

Alliance Cannery received an order for 384 cans of food, so the equation is written as:

24x+64y=384

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donuts and cream puffs were  45 & 4 respectively !

<u>Step-by-step explanation:</u>

Here we have , twice the number of donuts was only 6 less than 24 times the number of cream puffs. 10 times the number of cream puffs was only 5 less than the number of donuts   We need to find how many donuts and cream puffs were there . Let's find out:

Let number of donuts and cream puffs are x & y respectively ! So ,

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According to this statement equation is :

⇒ 2x=24y-6

⇒ x=12y-3            ................(1)

  • 10 times the number of cream puffs was only 5 less than the number of donuts

According to this statement equation is :

⇒ 10y= x-5

⇒ x=10y+5               ................(2)

Equation (1) & (2) :

⇒ 12y-3=10y+5

⇒ 2y=8

⇒ y=4

Putting  y=4 in  x=12y-3  :

⇒ x = 12(4)-3

⇒ x = 45

Therefore , donuts and cream puffs were  45 & 4 respectively !

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