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

Answer:

Number of special bagel sandwiches = 37

Step-by-step 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 $7x+2y=385$

$7x+2(100-x)=385\\7x+200-2x=385\\5x=385-200\\5x=185\\x=\frac{185}{5}\\x=37$

So,

Number of special bagel sandwiches = 37