A. A candy store has 2 bags of candy that have 10 pieces each and 5 bags of candy that have 6 pieces each. If Ali eats 5 total candy pieces, how many pieces are left?
B. A company earns about Rs 288 million in six years. How much does the company earn in 1 month approximately? How many more years would it take the company to make another Rs 576 million? Give an estimate answer.
Answer (1)
Calculate the total candy pieces: 10 × 2 + 5 × 6 = 50 .
Subtract the eaten pieces: 50 − 5 = 45 .
Calculate the annual earnings: 6 288 = 48 million.
Calculate the additional years to earn Rs 576 million: 48 576 = 12 years. The company earns approximately Rs 4 million per month, and it would take them 12 more years to earn an additional Rs 576 million. The number of candy pieces left is 45 .
Explanation
Problem Overview We will solve this problem in two parts. First, we'll find out how many candy pieces are left after Ali eats some. Then, we'll estimate a company's monthly earnings and how long it takes to earn more money.
Candy Calculation Let's start with the candy problem. Ali has 10 candies, and each has 2 pieces. So, Ali has a total of 10 candies × 2 pieces/candy = 20 pieces The boy has 5 candies, and each has 6 pieces. So, the boy has a total of 5 candies × 6 pieces/candy = 30 pieces Together, they have 20 pieces + 30 pieces = 50 pieces Ali eats 5 pieces, so the number of pieces left is 50 pieces − 5 pieces = 45 pieces
Company Earnings Calculation - Part 1 Now, let's move on to the company earnings. The company earns Rs 288 million in 6 years. So, the annual earnings are 6 years 288 million = 48 million/year To find the approximate monthly earnings, we divide the annual earnings by 12: 12 months/year 48 million/year = 4 million/month So, the company earns approximately Rs 4 million per month.
Company Earnings Calculation - Part 2 Finally, we need to find out how many more years it would take the company to make another Rs 576 million. We divide the additional amount by the annual earnings: 48 million/year 576 million = 12 years So, it would take the company approximately 12 more years to earn another Rs 576 million.
Final Answer Therefore, Ali and the boy have 45 candy pieces left after Ali eats 5 pieces. The company earns approximately Rs 4 million per month, and it would take them 12 more years to earn an additional Rs 576 million.
Examples
Understanding how to calculate earnings over time can help in personal finance. For instance, if you invest money and earn a certain amount each year, you can estimate how long it will take to reach a financial goal, like saving for a down payment on a house or retirement. This involves calculating annual earnings, monthly income, and projecting future growth based on consistent earnings.
