Let's assume that Trisha sells x subscriptions in an hour.
Trisha's earnings from selling subscriptions would be $2 * x.
Her total earnings in an hour would be $11 base wage + $2 * x subscriptions.
Similarly, let's assume that Baldwin sells y subscriptions in an hour.
Baldwin's earnings from selling subscriptions would be $3 * y.
His total earnings in an hour would be $7 base wage + $3 * y subscriptions.
Since they earn the same amount, we can set up the equation:
11 + 2x = 7 + 3y
Rearranging the equation, we have:
2x - 3y = -4
Now, we need to find the values of x and y that satisfy this equation.
We can start by checking possible values of x and calculating the corresponding value of y. We can then find the point where the equation is satisfied. We can choose a value for x and then calculate the corresponding value of y, or vice versa.
Let's try x = 2:
2 * 2 - 3y = -4
4 - 3y = -4
-3y = -8
y = 8/3
So, if Trisha sells 2 subscriptions in an hour, Baldwin would need to sell 8/3 subscriptions in an hour for them to earn the same amount.
Now, let's find their earnings:
Trisha's total earnings = $11 base wage + $2 per subscription * 2 subscriptions = $11 + $4 = $15
Baldwin's total earnings = $7 base wage + $3 per subscription * (8/3) subscriptions = $7 + $8 = $15
Therefore, both Trisha and Baldwin would earn $15 if Trisha sells 2 subscriptions and Baldwin sells 8/3 subscriptions.
Trisha and Baldwin have summer jobs selling newspaper subscriptions door-to-door, but their compensation plans are different. Trisha earns a base wage of $11 per hour, as well as $2 for every subscription that she sells. Baldwin gets $3 per subscription sold, in addition to a base wage of $7 per hour. If they each sell a certain number of subscriptions in an hour, they will end up earning the same amount. How much would each one earn? How many subscriptions would that be?
1 answer