Question

Treven and Dylan each bought fruit at the market. Treven bought 3 pears and 7 apples. Dylan bought 4 pears and 9 apples and spent $3.00 on oranges. If p represents the cost of each pear and a represents the cost of each apple, the expression below represents the total cost. What is the value of p+16a?

a) $3.00
b) $6.00
c) $2.00
d) $1.50

Answer 1

The value of p+16a is -0.5 + 16a.

Step-by-step explanation:

To find the value of p+16a, we need to determine the values of p and a. From the given information, the cost of Treven's purchase can be represented as 3p + 7a, and the cost of Dylan's purchase can be represented as 4p + 9a + 3. We can now form the equation:

(3p + 7a) + (4p + 9a + 3) = p + 16a

Simplifying the equation:

7p + 16a + 3 = p + 16a

Combining like terms:

6p + 3 = 0

Dividing both sides by 6:

p = -0.5

Therefore, the value of p+16a is -0.5 + 16a.