Answer:
<em>95+35x=900</em>
<em>23 weeks</em>
<em>$48 per week</em>
<u>I would recommend looking at work, it will help the answers make more sense.</u>
Step-by-step explanation:
Starting with the equation. You can see that he makes 35 dollars per week he works. Since we don't know the amount of time he works, we can use a variable. I'm going to use x. Since Darius already has $95 in his bank account, we need to make sure to include this money into the trip. So, the equation would look something like this. 95+35x=900
Let's find out how many weeks it will take Darius to reach his goal $900. First we need to subtract 95 from both sides. So, 95-95, which will cancel out, and you should be left with 35x=900-95. Now, 900-95. If you aren't good with subtracting, round 95 to 100. Now you get 800, make sure to add back the five. You should result in 805. So you are left with getting x alone.
35x=805
Divide each side by 35, so we can get x alone. 35 divided by 35 will cancel out, since it equals one. One is assumed, so you can just put x. Now it's time to divide 805 by 35. You should get 23. So that's your answer. It should take 23 weeks before Darius can pay to go to summer camp.
Since Darius wants to complete his goal six weeks earlier, he would need to be payed a different amount. The amount in his bank account won't change, nor will the amount of what we need to pay for this summer camp. So, let's rewrite the equation.
95+48x=900
Since it doesn't end up being a whole number when dividing, you can see that he might end up with extra change.
Solve like before and you should get 17. Which to check, you will see that 23-6=17.
95-95+48x=900-95
48x=805
48(17)=816
Add 95 to 816
911
Darius will not only meet his goal, but will also have extra money left over.
So, Darius needs to earn $48 per week.
