Alice bought a t-shirt that costs R$ 12.90 and a pair of socks for R$ 8.25. She paid with a R$ 50.00 bill. How much change did she receive after paying for her purchases? Calculate the change amount by subtracting the total purchase value from the amount paid.

In an electronics store, a customer purchased a smartphone that cost R$ 1,350.00 and a Bluetooth headset that cost R$ 89.99. At the time of payment, the customer chose to pay the total amount in 10 interest-free installments. To calculate the value of each installment, the customer needs to add the prices of the items and divide by the number of installments. Considering that the total amount to be paid in installments is the sum of the prices of the smartphone and the headset, answer: (1) What is the total value of the purchase? (2) What will be the value of each installment that the customer will pay?

The merchant has to sell each apple for R$0.27, at least.

A merchant received a box of Argentine apples containing many rotten apples. To file a complaint with the carrier, the merchant counted 120 rotten apples, which corresponds to 8% of the total apples in the box. If each apple costs the merchant R$0.12 and the carrier said it is not responsible for the rotten apples, how much should the merchant sell the non-rotten apples for to make a profit of at least 100% of the money spent on the box of apples?

Step 1: Find the total number of apples in the box. We know that 120 rotten apples correspond to 8% of the total apples. Therefore, we can create an equation to find the total apples (x): 120 = 0.08x x = 120 / 0.08 x = 1500 apples (total apples) Step 2: Calculate the amount spent on the box of apples. We know that each apple costs R$0.12. So, we multiply the value of each apple by the total number of apples in the box: Amount spent = 1500 apples * R$0.12/apple Amount spent = R$180 Step 3: Calculate the amount needed to make a 100% profit. To make a 100% profit, it is necessary to double the amount spent: Required amount = 2 * R$180 Required amount = R$360 Step 4: Calculate the minimum selling price per apple. Now, we need to divide the required amount (R$360) by the total number of non-rotten apples, which is the total apples minus the rotten apples: Non-rotten apples = 1500 apples (total) - 120 apples (rotten) Non-rotten apples = 1380 apples We then divide the required amount by the number of non-rotten apples: Minimum selling price = R$360 / 1380 apples Minimum selling price = R$0.260869565... ≈ R$0.27/apple Therefore, the merchant has to sell each apple for R$0.27, at least, to make a profit of 100% of the money spent on the box of apples.

Question bank: Operations: Decimals

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