nafishasan wrote:An employer pays 3 workers P, Q and R a total of $610 a week. p is paid 125% of the amount Q is paid and 80% of the amount R is paid. How much does P earn in a week?
a) $150
b) $175
c) $180
d) $195
e) $200
One option is the start plugging in answer choices.
Another option is the create an equation in terms of P (since our goal is to solve for P)
Let P = P's wage
If P is paid 125% of the amount Q, then we can write P = 5/4(Q)
If we take this equation and multiply both sides by (4/5), we get (4/5)P = Q
So, Q's weekly salary is (4/5)P
If P is paid 80% of the amount R is paid, then we can write P = 4/5(R)
If we take this equation and multiply both sides by (5/4), we get (5/4)P = R
So, R's weekly salary is (5/4)P
We're told that the total payment is $610.
So, we can write P + (4/5)P + (5/4)P = 610
In this case, it might be easier to convert the fractions to decimals:
P + 0.8P + 1.25P = 610
3.05P = 610
P = 610/3.05
P=200
So, the answer is
E
Cheers,
Brent
