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 [tex]x[/tex] represent the number of bagels.
And [tex]y[/tex] represent the number of cups of coffee.
So, the total number of items:
[tex]x+y=23[/tex]
[tex]x=23-y[/tex] ......(1)
Now, the total money spent on items:
[tex]2x+1.50y=40[/tex]
Substituting the value of [tex]x[/tex] from equation (1):
[tex]2(23-y)+1.50y=40[/tex]
[tex]46-2y+1.50y=40[/tex]
[tex]46-0.50y=40[/tex]
Subtracting both sides by 46 we get:
[tex]-0.50y=-6[/tex]
Dividing both sides by -0.50 we get:
[tex]y=12.[/tex]
The number of cups of coffee = 12.
Now, to get the number of bagel we substitute the value of [tex]y[/tex] in equation (1):
[tex]x=23-y[/tex]
[tex]x=23-12[/tex]
[tex]x=11.[/tex]
The number of bagels = 11.
Therefore, the number of bagels is 11 and the cups of coffee is 12.