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Bella went to the grocery store to pick up ingredients for dinner. She bought chicken, broccoli, and rolls. the chicken was 4 times as much as the rolls and the broccoli was twice the price of the rolls. If the total grocery bill was $21, how much did she spend on rolls?

Answer :

let rolls be x

chicken: 4*x= 4x
rolls: x
broccoli: 2*x= 2x

4x+x+2x=7x
7x=$21
x= $21/7
= $3

she spent $3 on the rolls

Using a system of equations, it is found that she spent $3 on rolls.

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This question is solved using a system of equations, considering that:

  • The rolls cost z.
  • Broccoli cost y.
  • Chicken cost x.

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  • Total of $21, thus:

[tex]x + y + z = 21[/tex]

  • The cost of chicken is 4 times as the cost of rolls, thus, [tex]x = 4z[/tex]
  • The cost of broccoli was twice the price of rolls, thus [tex]y = 2z[/tex]

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Solving for z, we find how much she spent on rolls, thus:

[tex]x + y + z = 21[/tex]

[tex]4z + 2z + z = 21[/tex]

[tex]7z = 21[/tex]

[tex]z = \frac{21}{7}[/tex]

[tex]z = 3[/tex]

She spent $3 on rolls.

A similar problem is given at https://brainly.com/question/22826010

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