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Patricia is making two sizes of hamburgers: 0.5-pound andd 0.25-pound. How many of each size of hamburger could she make with 3.75 pounds of hamburger?​

Respuesta :

Answer:

She could make 5 of each type.

Step-by-step explanation:

If x is the number of 0.5 pound hamburgers and y is the number of 0.25 pound hamburgers:

0.5x + 0.25y = 3.75

Divide through by 0.25:

2x + y = 15

Some whole numbers which fit this relation  are x = 5 and y = 5.

mhanifa

Answer:

  • See below

Step-by-step explanation:

Given:

  • Number of 0.5-pound is a
  • Number of 0.25-pound is b
  • Total weight is 3.75 pounds

Equation for the number of hamburgers:

  • 0.5a + 0.25b = 3.75

simplified to:

  • 2a + b = 15

Minimum number of each size is zero, then the maximum possible number is:

  • a = 0 ⇒ b = 15
  • b = 0 ⇒ 2a = 15 ⇒ a = 7 so b can't be zero, 2*7 + b = 15 ⇒ b = 1

So possible numbers are within the range:

  • 0.5 pound ⇒ 0 to 7
  • 0.25 pound ⇒ 1 to 15

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