One number exceeds another number by 6. One fourth of the sum of the two numbers is two less than the smaller.
1 answer:
Answer:
7 and 13
Step-by-step explanation:
let the 2 numbers be x and y , x > y , then
x = y + 6 → (1)
(x + y) = y - 2 ( multiply both sides by 4 to clear the fraction )
x + y = 4y - 8 ( subtract 4y from both sides )
x - 3y = - 8 → (2)
Substitute x = y + 6 into (2)
y + 6 - 3y = - 8
- 2y + 6 = - 8 ( subtract 6 from both sides )
- 2y = - 14 ( divide both sides by - 2 )
y = 7
Substitute y = 7 into (1)
x = 7 + 6 = 13
The 2 numbers are 7 and 13
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Bart company charges a lower rate. It is lower by rate $ 0.5 per hour
<h3><u>Solution:</u></h3>Given that Ace bike rentals rents bikes for $28 per day. Renters can keep the bike for 8 hours
Also given that Bart's bikes rents bikes for $30 per day. Renters can keep the bike for 10 hours
To find: company that charges lower rate
Let us find the hourly rate of Ace and Bart
<em><u>Hourly rate of Ace company:</u></em>
Rental price = $28
total time in a day 8 hours
So the hourly rate of Ace company is $ 3.5 per hour
<em><u>Hourly rate of Bart company:</u></em>
Rental price = $ 30
total time in a day 10 hours
So the hourly rate of Bart company is $ 3 per hour
<em><u>Comparing hourly rate of both companies</u></em>
Ace company is $ 3.5 per hour
Bart company is $ 3 per hour
Bart company < Ace company
3 < 3.5
Thus bart company charges a lower rate
<h3><em><u>How much lower?</u></em></h3>hourly rate of Ace company - hourly rate of Bart company = 3.5 - 3 = 0.5
So, it is lower by rate $0.5 per hour