Ruth sells cars. She receives a commission of 12% on sales up to $35,000 and a commission of %24 on sales over $35,000. What is Ruth's commission if she sold a car for $50,000?
1) Is 50,000 larger or smaller than 35,000?
2) Which commission should she therefore receive?
3) What is 50,000 times the commission percentage divided by 100?
12000
To calculate Ruth's commission for selling a car for $50,000, we need to break it down into two parts:
1. Calculate the commission for sales up to $35,000 at a rate of 12%.
2. Calculate the commission for sales over $35,000 at a rate of 24%.
First, let's calculate the commission for sales up to $35,000:
Commission for the first $35,000 = (Sale amount up to $35,000) * (Commission rate for sales up to $35,000)
Commission for the first $35,000 = $35,000 * 0.12 = $4,200
Next, let's calculate the commission for sales over $35,000:
Commission for sales over $35,000 = (Sale amount over $35,000) * (Commission rate for sales over $35,000)
Sale amount over $35,000 = $50,000 - $35,000 = $15,000
Commission for sales over $35,000 = $15,000 * 0.24 = $3,600
Finally, let's add both commissions together to find Ruth's total commission:
Total commission = Commission for the first $35,000 + Commission for sales over $35,000
Total commission = $4,200 + $3,600 = $7,800
Therefore, Ruth's commission for selling a car for $50,000 is $7,800.