Question

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.

Answer 1

1 pound limes 3 pears

Answer 2

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

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.

`l+p=9` or
`l=9-p` .....(1)

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

`0.5l+1.5p=9.50` ....(2)

Putting l-9-p in (2)

`0.5(9-p)+1.5p=9.50`

`4.5-0.5p+1.5p=9.50`

1p=5

So, p = 5

And
`l=9-p`

`l=9-5=4`

l= 4

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