Question

Gail bought 5 pounds of oranges and 12 pounds of bananas for $14. her husband later bought 3 pounds of oranges and 6 pounds of bananas or $18. wht was the cost per pound of the oanges and the banans

Answer 1

The cost per pound of the oranges and the bananas is $ 2 each.

Hi there,

I think the question given by you has a small incorrect data because with the combination of 12 pounds bananas we will be getting one of the values as negative. So I have written the correct question and solved it accordingly. Thanks

Q. Gail bought 5 pounds of oranges and 2 pounds of bananas for $14. her husband later bought 3 pounds of oranges and 6 pounds of bananas or $18. What was the cost per pound of the oranges and the bananas.

Step-by-step explanation:

Let the cost of oranges per pound be $ “x” and the cost of bananas per pound be $ “y”.

Based on the data given in the question:

Equation 1: 5x + 2y = 14

Equation 2: 3x + 6y = 18

Now, on multiplying by 3 throughout eq. (1) and by 5 throughout eq.(2) and then subtracting both eq. (i) & (ii), we get

15x + 6y = 42

15x + 30y = 90

-      -           -

---------------------------

-24y = - 48

-----------------------------

y = $ 2 ← cost of bananas per pound

Substituting the value of y in eq. (i)

5x + 2*2 = 14

⇒ 5x = 10

⇒ x = $ 2 ← cost of oranges per pound

Thus, the cost per pound of the oranges and the bananas is $ 2 each.

---------------------------------------------------------------------------------------------

Also View:

Sri jyothi has a basket full of bananas,oranges and mangoes. uf 50% are banana,15% are oranges, then what percent are mangoes ?

https://brainly.in/question/1480388

Oranges cost rupees 54 for 3 dozens in the supermarket what is the cost of 8 oranges ?

https://brainly.in/question/5719810

If 15 oranges cost rs 70. What is the cost of 39 oranges?

https://brainly.in/question/3066969