Question

Amit bought three apples and mango for $14. What is the price of the mango?
1. The price of five apples and two mangoes is $ 13 less than
that of six apples and fourmangoes
2. The price of an apple is equal to the price of two mangoes.
choose the best answer:
A) if the question can be answered using one of the statements alone, but cannot be answered using the other statement alone
B)If the question can be answered using either statement alone
C)if the question can be answered using both and together but not using and II alone
D)If the question cannot be answered even using I and II together​

Answer 1

Answer:

let the prize of apples be x and mango be y

so 3x + y = 14

so the prize of mango → y = 14 - 3x

1. now 5x + 2y + 13 = 6x + 4y

5x + 2 (14 - 3x) + 13 = 6x + 4 ( 14 - 3x)

2x + 28 - 6x + 13 = 6x + 56 - 12x

-4x + 41 = -6x + 56

2x = 15

x = 7.5

2. x = 2y

so, x = 2 ( 14 - 3x )

x = 28 - 6x

7x = 28

x = 4

answer = B

Answer 2

Solution :-

Let ,

• Cost of an apple = $ x .
• Cost of a mango = $ y .

so,

→ 3x + y = $ 14 ------- Eqn.(1)

→ y = $ (14 - 3x) .

Statement 1) :-

→ (6x + 4y) - (5x + 2y) = $13

→ 6x - 5x + 4y - 2y = 13

→ x + 2y = 13 ------- Eqn.(2)

Multiply Eqn.(1) by 2 and subtracting Eqn.(2) from result ,

→ 6x + 2y - x - 2y = 28 - 13

→ 5x = 15

→ x = $3

putting this value,

→ y = (14 - 3*3) = $5 .

Statement 2) :-

→ x = 2y

putting this value in Eqn.(1)

→ 3(2y) + y = 14

→ 7y = 14

→ y = $2 .

then,

→ x = $4 .

therefore, B) the question can be answered using either statement alone .

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