Question

Keisha bought cups of coffee and bagels for the people in her office. Each bagel cost $2 and each cup of coffee cost $1.50. Keisha spent a total of $40 to buy 23 items. Let x represent the number of bagels and y represent the number of cups of coffee.

Answer 1

The number of bagels is 11 and the cups of coffee is 12.

Explanation:

Given:

Keisha bought cups of coffee and bagels for the people in her office. Each bagel cost $2 and each cup of coffee cost $1.50.

Keisha spent a total of $40 to buy 23 items.

Now, to find the number of cups of bagels and coffee.

As given in question:

Let
`x` represent the number of bagels.

And
`y` represent the number of cups of coffee.

So, the total number of items:

`x+y=23`

`x=23-y` ......(1)

Now, the total money spent on items:

`2x+1.50y=40`

Substituting the value of
`x` from equation (1):

`2(23-y)+1.50y=40`

`46-2y+1.50y=40`

`46-0.50y=40`

Subtracting both sides by 46 we get:

`-0.50y=-6`

Dividing both sides by -0.50 we get:

`y=12.`

The number of cups of coffee = 12.

Now, to get the number of bagel we substitute the value of
`y` in equation (1):

`x=23-y`

`x=23-12`

`x=11.`

The number of bagels = 11.

Therefore, the number of bagels is 11 and the cups of coffee is 12.