Question

A sporting good store sells basketballs and footballs. Gavin pay $44 dollars for 3 basketballs and 2 footballs. Andrew pays $31 dollars for 1 basketball and 3 footballs. What is the price of 1 football

Answer 1

Answer: The price of 1 football = $ 7 and price of 1 basket ball= $10

Step-by-step explanation:

Let x = price of 1 football.

y = price of 1 basketball.

As per given,

$3x+2y=44\ \ \ (i)$

$x+3y=31\ \ \ \ (ii)$

Multiply 3 to (ii) , we get

$3x+9y=93\ \ \ \ (iii)$

Eliminate (i) from (iii)

$7y=49\\\\\Rightarrow\ y=7$

Put this in (ii), we get

$x+3(7)=31\\\\\Rightarrow\ x+21=31\\\\\Rightarrow\ x=31-21=10\\\\\Rightarrow\ x=10$

Hence,  the price of 1 football = $ 7 and price of 1 basket ball= $10