Question

The bagel shop sells special bagel sandwiches for $7 and plain bagels for $2. Last saturday, they sold 100 items and made $385. How many special bagel sandwiches were sold on that saturday ?

Answer 1

Number of special bagel sandwiches = 37

Explanation:

Let
`x,y` denote number of special bagel sandwiches and plain bagels respectively.

The bagel shop sold 100 items.

`x+y=100\\y=100-x`

Also, The bagel shop made $385.

`7x+2y=385`

Put
`y=100-x` in
`7x+2y=385`

`7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=(185)/(5)\\x=37`

So,

Number of special bagel sandwiches = 37