The absolute and relative cost difference in the restaurant and copycat meal are :
- Copycat meal is $4.20 less than restaurant meal
- Restaurant meal cost 1.88 times as much as copycat meal
- Copycat meal is 53% of the cost of restaurant meal
Cost of restaurant meal = $8.95
Cost of copycat version = $4.75
1.)
Difference in cost of meal for both version :
Cost of restaurant meal - Cost of copycat version
($8.95 - $4.75) = $4.20.
The copycat meal is $4.20 less than the restaurant meal
2.)
Cost of restaurant meal ÷ Cost of copycat version
($8.95 ÷ $4.75) = 1.884 = 1.88(2 decimal places)
The restaurant meal cost 1.88 times as much as the copycat meal
3.)
Percentage = (8.95 - 4.75) × 100% = 53.07% = 53%(nearest whole number)
The copycat meal is 53% of the cost of restaurant meal
Therefore, the relative and absolute cost difference are $4.20, 1.88 times and 53%
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So the so the product of two consecutive numbers is 4160 or
x(x+1)=4160
distribute
x^2+x=4160
subtract 4160 from both sides
x^2+x-4160=0
find the factor (if you want to know how, just ask in the comments)
(x-64)(x+65)=0
so the answer is x could be 64 or -65
so the number that work are 64,65 and -65,-64
He can give at most 2 adult haircuts with the remaining time
<h3>How many adult haircuts at most can he give with the remaining time? </h3>
The inequality is given as:
0.75C + 1.25A <= 7
Also, we have
C = 5
Substitute C = 5 in 0.75C + 1.25A <= 7
0.75 * 5 + 1.25A <= 7
Evaluate the product
3.75 + 1.25A <= 7
Evaluate the like terms
1.25A <= 3.25
Divide by 1.25
A <= 2.6
Rewrite as
A < 3
Hence, he can give at most 2 adult haircuts with the remaining time
Read more about inequalities at:
brainly.com/question/15010638
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<u>Complete question</u>
Horace is a professional hair stylist. Let C represent the number of child haircuts and A represent the number of adult haircuts that Horace can give within 7 hours. 0.75C + 1.25A <= 7
Horace gave 5 child haircuts.
How many adult haircuts at most can he give with the remaining time?