Will Mark BRAINLIEST!!! Can Someone Help Me With This Question?

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ybsbabygurl ybsbabygurl

10-02-2021
Mathematics

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Will Mark BRAINLIEST!!! Can Someone Help Me With This Question?

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garnerbrooklynp07vqm garnerbrooklynp07vqm · Answer 1 · 2021-02-10T16:58:03+01:00

Answer:

Apple Pie cost $8

Lemon Meringue Pie = $15

Step-by-step explanation:

Creating some variables:

A = apple pie

L = lemon meringue pie

We have two equations:

11A + 1L = 103

11A + 12L=268

You can use elimination or the substitution method to solve. I will be using substitution method.

Solve the first equation for L:

11A + 1L = 103

subtract 11A to both sides

L = 103 - 11A

Plug this into the second equation

[tex]11A + 12(103-11A) =268[/tex]

distribute the 12

[tex]11A + 1236 - 132A = 268[/tex]

combine the A and subtract the 1236

[tex]-121A = -968[/tex]

Divide -968 by -121

A = 8

Next plug this 8 back into one of the two original equations above:

[tex]11(8) + 1L =103[/tex]

[tex]88+L=103[/tex]

subtract 103 by 88

L = 15

bryant061003 bryant061003 · Answer 2 · 2021-02-10T17:00:43+01:00

Answer:

[tex]A=8[/tex], [tex]L=15[/tex]

Step-by-step explanation:

For the sake of time Apple pies will be represented by [tex]A[/tex] and Lemon will be represented by [tex]L[/tex]

Based on the information given it is clear that:

[tex]11A+1L=103[/tex]

[tex]11A+12L= 268[/tex]

We can rearrange the first equation to solve for [tex]A[/tex], in terms of [tex]L[/tex]

[tex]11A+1L=103[/tex]

subtract [tex]1L[/tex] form both sides

[tex]11A=103-L[/tex]

Now let's input this into the second equation to solve for [tex]L[/tex]

[tex](103-L)+12L=268[/tex]

combine like terms

[tex]11L+103=268[/tex]

subtract [tex]103[/tex] from both sides

[tex]11L=165[/tex]

divide both sides by [tex]11[/tex]

[tex]L=15[/tex]

Now input this value into the first equation for [tex]L[/tex]

[tex]11A+15=103[/tex]

subtract [tex]15[/tex] from both sides

[tex]11A=88[/tex]

divide both sides by [tex]11[/tex]

[tex]A=8[/tex]

plz mark me brainliest. :)

Will Mark BRAINLIEST!!! Can Someone Help Me With This Question? BONUS: Show all work for solving the system and ANSWER the highlighted questions.

Respuesta :

Otras preguntas

Will Mark BRAINLIEST!!! Can Someone Help Me With This Question?

BONUS: Show all work for solving the system and ANSWER the highlighted questions.