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 numbe

Question

2 years ago

6

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 numbe

r 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?

Mathematics

1 answer:

Mashcka [7] · Answer 1 · 2022-04-25T11:44:19+03:00

Mashcka [7]2 years ago

5 0

Answer:

4 pounds of lime and 5 pounds of pears

Step-by-step explanation:

I + P = 9

0.5l + 1.5P = 9.5

I = 9 - P

0.5(9 - P) + 1.5P = 9.5

4.5-0.5P + 1.5P = 9.5

4.5 + P (1P) = 9.5

P = 9.5-4.5 = 5

I = 9 - 5 = 4

Answer: 4 pounds of lime and 5 pounds of pears