Mathematics Answer Note #16

Question 1 Katie works at a coffee shop. She received a paycheck for $428.97 this week. She also received $83.50 in tips. She used her earnings to buy a new winter coat that cost $107.49. How much of Katie's weekly earnings remain? Answer After receiving a paycheck of $428.97 and tips of $83.50, Katie had a total of $512.47 in earnings for the week. She then spent $107.49 on a new winter coat, leaving her with $404.98 remaining from her weekly earnings. To calculate this, we subtract the cost of the coat from the total earnings: $512.47 $107.49 = $404.98. It is important to note that in this scenario, we are assuming that Katie has not used any of her earnings for other expenses or saved any of it. If that information was provided, the remaining amount would be different. Question 2 Martina made $42.35 at her lemonade stand on Saturday. Then, she spent $14.38 on lemons and sugar to make more lemonade for Sunday. On Sunday, Martina made $39.70. How much money did Martina have at the end of the weekend? Answer According to the given information, Martina earned $42.35 on Saturday and $39.70 on Sunday from her lemonade stand. However, she also spent $14.38 on lemons and sugar on Saturday to make more lemonade for Sunday. Therefore, in order to determine how much money Martina had at the end of the weekend, we need to subtract her expenditures from her earnings. Starting with Saturday's earnings, we subtract the cost of ingredients ($14.38) from the total amount earned ($42.35) to get $27.97 as her net profit on Saturday. On Sunday, Martina earned $39.70, but she did not have any expenditures as she already purchased the ingredients on Saturday. Therefore, her net profit on Sunday is equal to her earnings, which is also $39.70. To calculate Martina's total earnings for the weekend, we add her net profits from Saturday and Sunday, i.e. $27.97 + $39.70 = $67.67. Therefore, Martina had a total of $67.67 at the end of the weekend. In order to verify our calculations, let us also use the concept of net income. Net income is the total earnings minus the total expenditures. In this case, Martina's net income for the weekend can be calculated as $42.35 + $39.70 - $14.38 = $67.67, which is the same as the aforementioned calculation. Question 3 Cole bought an easel for $39.64. The cashier gave Cole $6.50 in change. How much money did Cole give the cashier? Answer Based on the given information, we can use the equation: Money given - Price of the item = Change given. In this case, we have the change given and the price of the item, so we can rearrange the equation to find the money given: Money given = Change given + Price of the item. Therefore, the money given by Cole to the cashier is $39.64 + $6.50 = $46.14. Question 4 Angie purchased a birthday card. She gave the cashier $5.88 and received $3.00 in change. How much did the birthday card cost? Answer A simple way to find the cost of the birthday card would be to subtract the change received from the amount given to the cashier. In this case, $5.88 - $3.00 = $2.88. Therefore, the birthday card cost $2.88. Overall, using these sources and basic mathematical concepts, we can conclude that the cost of the birthday card purchased by Angie was $2.88. Question 5 or At a garage sale, Clayton bought 6 cups for $2 each. He also bought a serving dish for $7.50. How much more money did Clayton spend on the cups than on the serving dish? Answer Based on the given information, we can calculate the total amount of money spent on the cups and the serving dish separately. The cost of the 6 cups is $2 per cup, so the total cost of the cups is 6 x $2 = $12. Similarly, the cost of the serving dish is $7.50, so Clayton spent a total of $12 + $7.50 = $19.50 at the garage sale. To determine the difference in cost between the cups and the serving dish, we can subtract the cost of the serving dish from the total cost of the cups. This calculation would be represented as $12 - $7.50 = $4.50. Therefore, Clayton spent $4.50 more on the cups than on the serving dish. This can be interpreted as the cups being the more expensive item in this purchase.