Answer: the sprinkling rate of the butler family's sprinkler is 40L per hour
the sprinkling rate of the Clark family's sprinkler is 20L per hour
Step-by-step explanation:
Let x represent the sprinkling rate of the butler family's sprinkler.
Let y represent the sprinkling rate of the Clark family's sprinkler.
The butler family's sprinklers was used for 40 hours. The Clark family's sprinkler was used for 30 hours. There was a combined total output of 2200L of water. This means that
40x + 30y = 2200 - - - - - - - - - - -1
if the sum of the two rates was 60l per hour, it means that
x + y = 60
Substituting x = 60 - y into equation 1, it becomes
40(60 - y) + 30y = 2200
2400 - 40y + 30y = 2200
- 40y + 30y = 2200 - 2400
- 10y = - 200
y = - 200/ - 10
y = 20
Substituting y = 20 into x = 60 - y, it becomes
x = 60 - 20 = 40
Since it is odd, 4, 6 and 10 cannot be divisors.
5 cannot be a divisor since when you count by 5's you get numbers ending in 5 or 0
(5,10,15,20, etc)
9 cannot be a divisor since 9 x 6 = 54 and 9 sx 7 = 63
None of your answers will work with 57.
3 will work even though you did not list it. 5+7 = 12 and 1+2 = 3. If the sum of the digits = 3, 6 or 9, the number is divisible by 3.
45 is divisible by 3 (4+5=9)
78 is divisible by 3 (7+8=15 and 1+5 = 6)
Answer
:
(P+5)/2-3a=b
((P+5)/2 -b)/3=a
Step-by-step explanation:
P+5=6a+2b
Factorize
P+5=2(3a+b)
(P+5)/2=3a+b
((P+5)/2)-b)/3=a
(P+5)/2)-3a=b
<h3><u>The original price of laptop before the discount is $ 1349</u></h3>
<em><u>Solution:</u></em>
Given that,
Sales price of laptop = $ 944.30
It is on sale for 30% off
To find: Original price of laptop before the discount
Let "x" be the original price of laptop before the discount
From given,
original price = sales price + 30 % of original price
x = 944.30 + 30 % of x
Thus the original price of laptop before the discount is $ 1349