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Mariah spent $9.50 on 9 pounds of limes and pears. Limes cost $0.50 per pound and pears cost $1.50 per pound. Let l be the number of pounds of limes and let p be the number of pounds of pears. The system of linear equations that models this scenario is: l + p = 9 0.5l + 1.5p = 9.5 How many pounds of each type of fruit did she buy? She bought pounds of limes and pounds of pears.

Respuesta :

1 pound limes 3 pears

Answer:

Mariah bought 4 pounds of lime ans 5 pounds of pears.

Step-by-step explanation:

Let l be the number of pounds of limes.

Let p be the number of pounds of pears.

Mariah spent $9.50 on 9 pounds of limes and pears.

[tex]l+p=9[/tex] or [tex]l=9-p[/tex]    .....(1)

Limes cost $0.50 per pound and pears cost $1.50 per pound.

[tex]0.5l+1.5p=9.50[/tex]    ....(2)

Putting l-9-p in (2)

[tex]0.5(9-p)+1.5p=9.50[/tex]

[tex]4.5-0.5p+1.5p=9.50[/tex]

1p=5

So, p = 5

And [tex]l=9-p[/tex]

[tex]l=9-5=4[/tex]

l= 4

So, Mariah bought 4 pounds of lime ans 5 pounds of pears.

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