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

Answer:

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

Step-by-step 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.