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Luda [366]
3 years ago
9

Juan was given a gift card for a coffee shop. Each morning, Juan uses the card to buy one cup of coffee. Each cup of coffee cost

s $2 and the original amount of money on the gift card was $30. Write an equation for A, in terms of x, representing the amount money remaining on the card after buying of coffee.
Mathematics
1 answer:
Black_prince [1.1K]3 years ago
7 0

Answer:

A=30-2x

Step-by-step explanation:

Cost of one cup of coffee=$2

The original amount of money on the gift card= $30

Juan's expenses in buying coffee, after x morning are \$2\times x.

The amount of money left, A, on the card = (Original amount) - (Total expenses)

A=30-2x

Hence, the equation for, A, the amount of money remaining on the card is

A=30-2x.

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[Question 1]
let d = number of dramas Gina rented, c = # of comedies, and t = # of documentaries:

[equation a] d + c + t = 11
[equation b] 2d + 3c + 2t = 27
[equation c] d + 2c + 2t = 19

if we subtract [a] from [c] we get:
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if we subtract [c]*2 from [b] we get:
[equation e] -c - 2t = -11 or
[equation e] c + 2t = 11

Now we can subtract [e] from [d] to solve for t:
t = 3

Now put in 3 for t in [d] or [e] to solve for c:
c + 2(3) = 11
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