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Lester got $50\$50 for his birthday, so his mom took him to the bank to open a savings account. Going forward, Lester also plans to deposit all of his income into his savings account each week. He has two sources of weekly income: his $10\$10 allowance and the $15\$15 he makes from delivering newspapers.\newlineAt this rate, in how many weeks will Lester's savings account have $500\$500?\newline___\_\_\_ weeks\newline

Full solution

Q. Lester got $50\$50 for his birthday, so his mom took him to the bank to open a savings account. Going forward, Lester also plans to deposit all of his income into his savings account each week. He has two sources of weekly income: his $10\$10 allowance and the $15\$15 he makes from delivering newspapers.\newlineAt this rate, in how many weeks will Lester's savings account have $500\$500?\newline___\_\_\_ weeks\newline
  1. Calculate Income: Lester's weekly income is the sum of his allowance and earnings from delivering newspapers, which is $10\$10 + $15\$15.
  2. Total Weekly Income: Calculating Lester's total weekly income: $10\$10 + $15\$15 = $25\$25 per week.
  3. Calculate Additional Savings: Lester starts with $50\$50 in his savings account, To reach $500\$500, he needs to save an additional $500$50\$500 - \$50.
  4. Additional Amount Calculation: Calculating the additional amount Lester needs to save: $500$50=$450\$500 - \$50 = \$450.
  5. Calculate Number of Weeks: To find out how many weeks it will take to save the additional $450\$450, divide $450\$450 by his weekly income of $25\$25.
  6. Calculate Number of Weeks: To find out how many weeks it will take to save the additional $450\$450, divide $450\$450 by his weekly income of $25\$25.Calculating the number of weeks: $450÷$25=18\$450 \div \$25 = 18 weeks.