Solving Savings Challenges with Systems of Equations

Maria has two savings accounts. In account A, she saves $50 each month, and in account B, she saves $30 each month. After 6 months, the total amount saved in both accounts is $480. How much money was in account A after 6 months?

• 300

• 150

• 400

• 250

John wants to save for a new bike that costs $300. He saves $20 each week from his allowance and $10 each week from his part-time job. Write a system of equations to represent his savings and determine how many weeks it will take him to save enough for the bike.

• 10 weeks

• 15 weeks

• 20 weeks

• 5 weeks

Aisha and Ben are saving money for a concert. Aisha saves $15 a week, while Ben saves $10 a week. If Aisha has already saved $90 and Ben has saved $60, how many weeks will it take for them to have the same amount saved?

• 4 weeks

• 8 weeks

• 6 weeks

• 10 weeks

Liam has a total of $500 saved in two accounts. He saves $25 each week in account X and $15 each week in account Y. If he wants to have $800 in total after a certain number of weeks, how many weeks will it take him to reach that goal?

• 8 weeks

• 10 weeks

• 5 weeks

• 12 weeks

Sophie and Emma are saving for a vacation. Sophie saves $40 a month, and Emma saves $60 a month. If Sophie has saved $200 and Emma has saved $300, how many months will it take for them to have the same amount saved?

• They will never have the same amount saved.

• They will have the same amount saved in 5 months.

• Sophie will always save more than Emma.

• Emma will catch up to Sophie in 10 months.

David has two savings plans. In plan A, he saves $100 every month, and in plan B, he saves $50 every month. If he wants to have a total of $1,200 saved, how many months will it take him to reach that goal?

• 6 months

• 8 months

• 10 months

• 12 months

Ella is saving for a new laptop that costs $800. She saves $50 each month from her job and $20 each month from her allowance. Write a system of equations to represent her savings and determine how many months it will take her to save enough for the laptop.

• 15 months

• 20 months

• 12 months

• 10 months

Noah has two different savings accounts. In account 1, he saves $60 each month, and in account 2, he saves $40 each month. If he wants to have a total of $1,200 saved, how many months will it take him to reach that goal?

• 12 months

• 8 months

• 15 months

• 10 months

Olivia and Mia are saving for a new video game console. Olivia saves $25 a week, while Mia saves $35 a week. If Olivia has already saved $150 and Mia has saved $210, how many weeks will it take for them to have the same amount saved?

• Mia will always save less than Olivia.

• They will never have the same amount saved.

• They will have the same amount saved in 5 weeks.

• Olivia will catch up to Mia in 3 weeks.

Ethan has a total of $1,000 saved in two accounts. He saves $30 each week in account A and $50 each week in account B. If he wants to have $1,500 in total after a certain number of weeks, how many weeks will it take him to reach that goal?

• 7 weeks

• 5 weeks

• 12 weeks

• 10 weeks