Answer:
The number of bagels is <u>11</u> and the cups of coffee is <u>12</u>.
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
represent the number of bagels.
And
represent the number of cups of coffee.
So, the total number of items:

......(1)
Now, the total money spent on items:

Substituting the value of
from equation (1):



<em>Subtracting both sides by 46 we get:</em>

<em>Dividing both sides by -0.50 we get:</em>

<em>The number of cups of coffee = 12.</em>
Now, to get the number of bagel we substitute the value of
in equation (1):



<em>The number of bagels = 11.</em>
Therefore, the number of bagels is 11 and the cups of coffee is 12.