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Svetllana [295]
3 years ago
15

Keiko received an $80 gift card for a coffee store. She used it in buying some coffee that cost $8.04 per pound. After buying th

r coffee, she had 31.76 left her card. How many pounds of coffee did she buy?
Mathematics
2 answers:
Ann [662]3 years ago
6 0

Hey there!!

Let's take the amount of pounds as 'p'

<em>The cost for each pound is $8.04 </em>

<em>Total amount of money is $80</em>

<em>The amount of money left is $31.76 </em>

<em>Total amount of money left = Total amount of money - money spent on the coffee. </em>

... 31.76 = 80 - 8.04p

... -48.24 = -8.04p

... 6 = p

<u><em>Hence, the total number of pounds taken is "6". </em></u>

Hope it helps!

Kryger [21]3 years ago
3 0

Answer:

6 pounds of coffee.

Step-by-step explanation:

First, we determine how much money she spent. 80-31.76 = 48.24

Next, we divide the money spent by the price per unit. 48.24/8.04=6

Therefore, she bought 6 pounds of coffee.

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Anne, Barry, and Cathy enter a coffee shop. Anne orders two coffees, one juice, and two doughnuts and pays $7.50. Barry orders o
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Answer:

Coffee = $2.00

Juice = $1.50

Doughnut = $1.00

Step-by-step explanation:

Given

Let:

c = coffee\\ j= juice\\ d = doughnut

So, we have:

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2c + j + 2d = 7.50

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c + 3d = 5.00

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3c + j + 4d = 11.50

Required

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We have:

2c + j + 2d = 7.50

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Make c the subject in: c + 3d = 5.00

c = 5.00 - 3d

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2c + j + 2d = 7.50

2[5.00 - 3d] + j + 2d = 7.50

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Make j the subject

j = 11.50 - 15.00 + 9d -4d

j = -3.50 + 5d

So, we have:

j = -3.50 + 5d and j = -2.50 +4d

Equate both values of  j

-3.50 + 5d = -2.50 + 4d

Collect like terms

5d - 4d = 3.50 -2.50

d = 1.00

Substitute d = 1.00 in j = -3.50 + 5d

j = -3.50 + 5d

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j = -3.50 + 5.00

j = 1.50

To solve for c, we substitute d = 1.00 in c + 3d = 5.00

c + 3 * 1.00 =5.00

c + 3.00 =5.00

Solve for c

c =- 3.00 +5.00

c =2.00

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