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Lisa [10]
3 years ago
7

3 packets of French fries, 2 cheeseburgers, and one drink cost $10.95. 1 packet of French fries, 2 cheeseburgers, and 3 drinks c

ost $11.25. Find the price of 1 packet of French fries, 1 cheeseburger, and one drink?
Mathematics
1 answer:
zhuklara [117]3 years ago
6 0

Answer:

The price of 1 packet of French fries, 1 cheeseburger, and one drink cost $5.55

Step-by-step explanation:

Let

x ----> the price of 1 packet of French fries

y ---> the price of 1 cheeseburger

z ---> the price of one drink

we know that

3x+2y+z=10.95 ----> equation A

x+2y+3z=11.25 ---> equation B

Adds equation A and equation B

3x+2y+z=10.95\\x+2y+3z=11.25\\------------\\3x+x+2y+2y+z+3z=10.95+11.25\\4x+4y+4z=22.2

Divide both sides of the equation by 4

x+y+z=5.55 ----> equation C

The equation C means ----> The price of 1 packet of French fries, 1 cheeseburger, and one drink cost $5.55

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Well, let's say the numbers are "a" and "b"

so a * b = ab

ok... now, if we reduce "a" by 25%, that means the new size is just 75% of the old one, how much is 75% of a? well, (75/100) * a, or 0.75a

now let's reduce "b" by 50%, that means the new size is 50% or half,  how much is 50% of b? well (50/100)*b, or 0.5b

\bf \begin{cases}
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now, the new size of "ab" is just 0.375ab... well, let's revert the decimal format by simply multiplying by 100

0.375 * 100, is 37.5%

the new size of "ab" is just 37.5% of the original "ab"

it decreased by 100 - 37.5 or 62.5%
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