Answer:
Janice and Karen could do in 1 day:
Step-by-step explanation:
To identify how much of the job could janice and caren do in 1 day, first, we must find how much of the job make just 1 person at the same rate:
If three persons make a job in 3 1/3 days, 1 person make the job in x:
- 3 persons ⇒ 3 1/3 days or 10/3 days
- 1 person ⇒ x
Then:
(we cancel the unit "persons")![x=\frac{\frac{10}{3}days }{3}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B%5Cfrac%7B10%7D%7B3%7Ddays%20%7D%7B3%7D)
- x = 10 days
Just a person would need 10 days to complete a job, now, we're gonna divide this value in 2 to obtain the time that need two persons to complete a job:
- Time to complete a job between 2 persons =
![\frac{10}{2}days](https://tex.z-dn.net/?f=%5Cfrac%7B10%7D%7B2%7Ddays)
- Time to complete a job between 2 persons = 5 days
How two persons need 5 days to complete a job (in this case, the two persons are Janice and Karen), we can make a simple rule of three to obtain the percentage made in 1 day:
- 5 days ⇒ 100% of a job
- 1 day ⇒ x
Then:
(you can use the % if you want, the result is the same)![x=\frac{100}{5}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B100%7D%7B5%7D)
![x=20](https://tex.z-dn.net/?f=x%3D20)
As you can see, <u><em>Janice and Karen just in a day could do 20% of the job</em></u>.
{x+1=y}
{2x-y=0}
X+1=y
X=y-1
{2(y-1)-y=0}
{2y-2-y=0
{y-2=0}
{y=2}
Since y=2, and there’s only one ordered pair with y=2, the answer is B
All you have to do here is subtract the 3/8 on the left from the 17/8 on the right and you get 14/8 which reduces to 7/4 which is 1 3/4.
Answer:
x + 4x + 1 = 76
Step-by-step explanation:
Let
x = Leon's amount
y = Laci's amount
"Laci has $1 more than 4 times Leon"
i.e y = 1 + 4x ----------------(1)
"together they have $76
i.e x + y = 76 ----------------(2)
if you take equation (1), and substitute for the value of y in equation (2):
equation (2) becomes:
x + (1 + 4x) = 76
or
x + 4x + 1 = 76 (answer)
I think its the first one