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.
Be sure to answer both questions entirely.
​After four weeks, who has more money in their savings account? Explain how you know.
After how many weeks will Andre and Elena have the same amount of money in their savings accounts?

Answer 1

Answer:

Andre have more money after 4 weeks and after 6 week they have same amount of money.

Step-by-step explanation:

When Andre =100 then Elena =10.

After 4 week,

Andre = 100+(5*4)=100+20=120

In this time Elena = 10+(20*4) =10+80 = 90

After more 2months Andre have more 5+5=10

Then his total balance will be 120+10=130.

Than Elena after 2 week have 20+20=40.

Then her total balance will be 90+40=130.

That's mean 4 weeks+ extra 2 weeks total 6 weeks

Answer 2

1. After 4 weeks, Andre will have more money in their savings account.

2. They will have the same amount of money after weeks.

1. To find the answer, you must first solve to find out how much money each person has.

Andre: He starts with $100, and adds $5 each week. Since their looking for who has more money after 4 weeks, multiply $5 by 4. 5 x 4 = $20. Then add $100 and $20. Andre has $120 after 4 weeks.

Elena: She starts with $10, and adds $20 each week. Following the same steps from that were taken to find Andre's total. Multiply 20 and 4 to get $80. Then add $10 and $80. Elena has $90 after 4 weeks.

Andre has more money by $30.

2. They will have the same amount of money after 6 weeks. To show this use: $100 + ($5 · x) = $10 + ($20 · x).

-Solve the parentheses on both sides. 5 times x = 5x and 20 times x = 20x. The equation now says "$100 + 5x = $10 + 20x.

-Get the "x" terms on one side and the money amounts on the other. To do so, subtract 5x and 10 from both sides. This cancels out the 5x on the left side of the equation (leaving 15x on the right side) and cancels out the 10 on the right side (leaving 90 on the left side). The equation now says "90 = 15x"

-Finally, get "x" by itself. Divide both sides by 15, to get "6 = x" or "x = 6".

Thus meaning they will have the same amount of money after 6 weeks.

To check this, fill in 6 for x in the equation "$100 + ($5 · x) = $10 + ($20 · x)". Then solve.

Andre: $5 x 6 = $30

$30 + $100 = $130.

Elena: $20 x 6 = $120

$120 + $10 = $130

$130 = $130.

I hope this helps!