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Phantasy [73]
3 years ago
5

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. Keis

ha 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.
Mathematics
1 answer:
-Dominant- [34]3 years ago
6 0

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 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

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

-0.50y=-6

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

y=12.

<em>The number of cups of coffee = 12.</em>

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

x=23-y

x=23-12

x=11.

<em>The number of bagels = 11.</em>

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

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Using the method of checking each answer to see if it is possible that they are correct. 

The 3 in the 350 can also be referred to as just 300 because it a 3 in the hundreds place. Also because if the rest of the numbers following the "3" were zeros the number would be 300.
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