Question

A fruit vendor sells apples and mangos. Each apple costs the same amount, and each mango costs the same amount.

· Lucy buys 3 apples and 6 mangos for a total of $9.15.

· Amir buys 8 apples and 4 mangos for 11.92.

What is the cost of a single apple?

Answer 1

To find the cost of a single apple, we can set up a system of equations using the given information and solve for the value of 'a'.

Step-by-step explanation:

To find the cost of a single apple, we need to set up a system of equations using the given information. Let's assume the cost of each apple is 'a' dollars and the cost of each mango is 'm' dollars.

From the first equation, we know that 3a + 6m = 9.15. From the second equation, we know that 8a + 4m = 11.92. Now we can solve this system of equations to find the value of 'a', which represents the cost of a single apple.

Multiplying the first equation by 4 and the second equation by 6 to eliminate the 'm' variable, we get:
12a + 24m = 36.60 (equation 1)
48a + 24m = 71.52 (equation 2)

By subtracting equation 1 from equation 2, we get:
48a - 12a = 71.52 - 36.60
36a = 34.92
a = 34.92 / 36
a ≈ 0.97

Therefore, the cost of a single apple is approximately $0.97.

Answer 2

$0.97

Step-by-step explanation:

Let the cost of a single apple is x and that of single mango is y.

ATQ,

3x+6y=9.15 ....(1)

8x+4y=11.92 ...(2)

Multiply equation (1) by 8 and equation (2) by 3

24x+48y=73.2 ...(3)

24x+12y=35.76 ...(4)

Subtract equation (2) from (1) :

24x+12y-(24x+48y) = 35.76 - 73.2

12y-48y = -37.44

-36y = -37.44

y = $1.04

Put the value of y in equation (1)

3x+6y=9.15

3x+6(1.04) = 9.15

3x = 9.15-6(1.04)

3x = 2.91

x = $0.97

Hence, the cost of single apple is $0.97.