Larry and his sister, Betty, are saving money to buy their own laptop computers. Larry has $215 and can save $35 each week. Betty has $380 and can save $20 each week. When will Larry and Betty have the same ammount of money?

Answer:it will take 11 weeks

Step-by-step explanation:

Let x represent the number of weeks it takes Larry and Betty to save equal amount of money.

Let y represent the total amount saved by Larry in x weeks.

Let z represent the total amount saved by Betty in x weeks.

Larry has $215 and can save $35 each week. This means that

y = 215 + 35x

Betty has $380 and can save $20 each week. This means that

z = 380 + 20x

To determine the number of week that it will take them to have the same ammount of money, we would equate y to z. It becomes

215 + 35x = 380 + 20x

35x - 20x = 380 - 215

15x = 165

x = 165/15 = 11

After 11 weeks

Step-by-step explanation:

215 + 35x = 380 + 20x

-215 - 20x - 215 - 20x

15x = 165

x = 11