Question

6)

Answer 1

Answer:

Step-by-step explanation:

Let's solve the given system of linear equations:

a+b = 13

0.750 + 1.15b = 12.55

Let's eliminate b.  To do this, solve the first equation for b, obtaining b = 13 - a, and then substitute 13 - a for b in the second equation:

0.750 + 1.15(13 - a) = 12.55.  

Next, subtract 0.750 from both sides, obtaining:  1.15(13 - a) = 11.8

Dividing both sides by 1.15 yields 13 - a = 10.26

Then a = 13 - 10.26, or a = 2.74.  

Since a + b = 13, b = 13 - 2.74, or 10.26

This person bought 2.74 pounds of apples and 10.26 pounds of bananas.