Question

Margaret and Miguel are shopping at a fruit stand. Margaret buys threes apples and two
bananas and pays $1.90 Miguel buys two apples and five bananas and pays $2.00. Assuming
that the fruit is priced per piece and not by weight, and that no sales tax is charged, find the
price of one apple and one banana. Give your answer as an ordered pair(A,B), where A is the
cost of one apple and B is the cost of one banana. Do not include the dollar sign with your
answer.

Answer 1

Answer:

(A, B) = (0.50, 0.20) [One Apple = $0.50 and One Banana = $0.20]

Step-by-step explanation:

let the price of one apple be 'A'

let the price of one banana be 'B'

∴ 3A + 2B = 190 -------- Eq. 1

and 2A + 5B = 200

(Simultaneous Equation)

6A + 4B = 380 ---------- Eq. 2

6A + 15B = 600 --------  Eq. 3

Subtracting Eq. 2 from Eq. 3, we get

11B = 220

∴ B = $\frac{220}{11}$

B = 20 = 0.20

∵ B = 20

Substituting B in Eq. 1, we get

3A + 2(20) = 190

3A + 40 = 190

3A = 190 - 40

3A = 150

A = $\frac{150}{3}$

A = 50

∴ (A, B) = (0.50, 0.20)

Answer 2

Answer:

Step-by-step explanation:

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