Need help with word problem.
Stan and Oliver have a lawn mowing business. If Stan earns $3.00 for every $1.00 that Oliver earns, how much is Oliver's share for the day that they earned $75.00?
Stan 3x(1) & Oliver x
x+3x(1)= 75
4x(1)= 75(1)
Is the equation set up correctly?
Yes, your next step is to solve for x which represents Oliver's share.
The equation you set up is not correct. To solve this problem, you need to set up a ratio based on the information given, and then use that ratio to find Oliver's share.
Let's call Oliver's earnings "x". Since Stan earns $3.00 for every $1.00 that Oliver earns, Stan's earnings would be 3 times Oliver's earnings, or "3x".
The total amount earned by both Stan and Oliver is $75.00, so the equation can be set up as:
x + 3x = 75
Simplifying the equation, we get:
4x = 75
Now, divide both sides of the equation by 4 to isolate x:
x = 75 / 4
Calculating this, we find that Oliver's share for the day is $18.75.
Yes, the equation is correctly set up. However, let's go through the steps of solving it to find the value of Oliver's share.
Let's break down the information given in the word problem:
1. Stan earns $3.00 for every $1.00 that Oliver earns.
This means that if Oliver earns $1.00, Stan earns $3.00.
2. The total earning for the day is $75.00.
Now, let's set up the equation to find Oliver's share:
Oliver's share (x) + Stan's share (3x) = Total earning ($75.00)
So the equation is:
x + 3x = 75
Now, let's solve for x:
First, combine like terms:
4x = 75
Next, isolate x by dividing both sides of the equation by 4:
x = 75 / 4
Simplifying the division:
x = 18.75
Therefore, Oliver's share for the day is $18.75.