Question

You are at a fruit stand to get some fresh produce. You notice that the person in front of you gets 5

Answer 1

Answer:

$5A + 4P = 10$

$5A + 5P = 11$

1 apple costs $1.2

1 pear costs $1

Step-by-step explanation:

Represent Apples with A and Pears with P

For the person in my front, the expression is:

$5A + 4P = 10$

For me, the expression is

$5A + 5P = 11$

Hence, the system of equation is:

$5A + 4P = 10$

$5A + 5P = 11$

Solving for the values of A and P.

Substract equation (2) from (1)

$5A - 5A + 4P - 5P = 10 - 11$

$-P = -1$

$P = 1$

Hence, 1 pear costs $1

Substitute 1 for P in $5A + 4P = 10$

$5A + 4 * 1 = 10$

$5A + 4 = 10$

$5A = 10 - 4$

$5A = 6$

$A = \frac{6}{5}$

$A = \ 1.2$

Hence, 1 apple costs $1.2