Question

Nia knows that one apple bag and 6 kiwis cost $19.70.

She also knows that the same apple bag and 16 kiwis cost $43.7.
i.
What is the cost for each kiwi?

Answer 1

each kiwi costs $2.40

Explanation:

we set up our system of equations

x = bag of apples

y = kiwi

x + 16y = 43.7

x + 6y = 19.7

multiply any one of the equations by -1 to make x negative

-1(x+6y) = -1(19.7)

-x - 6y = -19.7

add the other equation and the new equation

-x - 6y = -19.7

x + 16y = 43.7

+ ____________

10y = 24

divide by 10 both sides

y = 2.4

we can also look for the cost of each bag of apples

plug in the y value to an original equation

x + 16(2.4) = 43.7

simplify

x + 38.4 = 43.7

subtract 38.4 from both sides

x = 5.3