Question

Andre and Elena are each saving money. Andre starts with $100 in his savings account and adds $5 per week. Elena starts with $10 in her savings account and adds $20 each week.

Answer 1

Answer:

6 weeks

Step-by-step explanation:

You need to write an equation for each.

For Andre, he has 100 dollars, and every week gets 5 dollars more. You add the 5 dollars, and Since you don't know how many weeks it has been, use a variable.

For Elena, she has 10 dollars, and gets 20 each week.

Now that you know that it has been 4 weeks, you can plug in 4 for the variable for weeks.

Andrew:100+5(4)=100+20+120

Elena: 10+20(4)=10+80=90

Andrew has more money in this time.

To find when they have the same amount, equal their expressions to each other. This means that they will have the same amount (because they are equalled) and you can solve to find the variable, which means the weeks that they are equal at.

Bring the like terms to each side by canceling them out. Since you have positive 10, then subtract 10 to each side. You have 5w, so subtract 5w to each side.

100+5w=10+20w

90+5w=20w

90=15w

90 divided by 15=6

w=6