Lucas' Savings Challenge: Calculating Daily Savings for a Toy Figurine

Let's assume that Lucas saved x dollars on Monday. According to the given ratio, he saved 1x dollars on Monday and 5x dollars for the rest of the days. After saving $8.20 on Tuesday, Lucas was 70% away from his targeted amount. This means that Lucas still needed 30% of his targeted amount. Let's assume that Lucas's targeted amount was y dollars. Therefore, 30% of y is 0.3y. We can write the equation: 0.3y = 8.20 Dividing both sides of the equation by 0.3, we get: y = 8.20 / 0.3 y = 27.33 So, Lucas's targeted amount was $27.33. Since Lucas saved x dollars on Monday, he saved 5x dollars for the rest of the days. Therefore, the amount he saved from Tuesday to Sunday is 5x * 5 = 25x dollars. We know that Lucas's targeted amount is $27.33, and he was 70% away from it. So, he saved 30% of his targeted amount, which is 0.3 * 27.33 = $8.20 on Tuesday. This means that the total amount Lucas saved from Tuesday to Sunday is 27.33 - 8.20 = $19.13. Therefore, 25x = 19.13 Dividing both sides of the equation by 25, we get: x = 19.13 / 25 x = 0.77 So, Lucas saved $0.77 on Monday. Since he saved x dollars on Monday, he saved 5x dollars for the rest of the days. So, he saved 5 * 0.77 = $3.85 every day for the rest of the week. Answer: $3.85.