Question

John sells cupcakes. He has been offered a salary position at two different companies to make and sell his cupcakes. The first company offered him a weekly salary of $ 800.00 $800.00​​ plus a commission of $ 0.30 $0.30​​ for each cupcake he sells. The second company offered him a weekly salary of $ 350.00 $350.00​​ plus a commission of $ 1.30 $1.30​​ for each cupcake he sells. How many cupcakes must John sell each week for the total pay from each company to be the same?

PLEASE ANSWER FAST WORTH 92 POINTS

Answer 1

Answer: 450

Explanation:

If we let x and y represent the number of cupcakes John sells and his total weekly income, respectively, we get the following system of equations.

=0.35x+845

=1.4x+372.5

​

Since both equations are solved for y​, any substitution for y​ will result in the following

211.4 x+372.5&=0.35

x+845

1.4x+372.5

​

=0.35x+845

​

Solving for x will give us the number of cupcakes John needs to sell weekly for each paycheck to be the same. Doing so, we get

1.4 x+372.5&=0.35 x+845

1.05 x&=472.5x=450

1.4x+372.5

1.05x

x

=0.35x+845

=472.5

=450

Therefore, John needs to sell 450450​ cupcakes each week for both salaries to be the same.

Answer 2

450 cupcakes

Explanation:

Let x be the number of cupcakes sold for John's total pay to be the same for both companies

For the first company

Salary = $800/week

Commission is $0.30 per cupcake

For sales of x cupcakes, total commission = 0.30x

Total pay = Weekly salary + Total commission from sales

Total Pay = 800+ 0.3x

For the second company
Salary = 350 /week

Commission: $1.30 per cupcake

For sales of x cupcakes, total commission = 1.30x

Total Pay = Weekly salary + Total commission from sales

Total Pay = 350 + 1.3x

If both pay must be he same,
800 + 0.3x = 350 + 1.3x

800-350 = 1.3x - 0.3x

450 = 1x

x = 450 cupcakes ANSWER