Ratios and Rates Math Review for Grade 6

To find the unit price per juice box, divide the total price of the 6-pack by the number of juice boxes. In this case, $9.00 divided by 6 equals $1.50. This calculation shows that each juice box costs $1.50, making it an essential figure for consumers to understand the cost per item when purchasing in bulk.

To find the unit price per juice box, divide the total price of the 8-pack by the number of juice boxes. Here, $11.20 divided by 8 equals $1.40. This calculation shows that each juice box costs $1.40, making it the unit price.

Brand B offers a lower unit price compared to Brand A, making it the better deal for consumers looking for value. When comparing prices, it's essential to consider the quantity and overall cost to determine which brand provides more product for less money. If Brand B's unit price is lower, it indicates better affordability and cost-effectiveness, thus making it the preferable choice for budget-conscious shoppers.

To compare the amounts of pizza Aiden and Maya ate, we need to convert their fractions to a common denominator. Aiden ate ¾ of his pizza, which is equivalent to 6/8, while Maya ate ⅔, which is equivalent to 4/6 or 8/12. Converting both to a common denominator of 12, Aiden ate 9/12 and Maya ate 8/12. Since 9/12 is greater than 8/12, Aiden ate more pizza than Maya.

To determine the amount of flour needed for 75 cookies, we first find the flour-to-cookie ratio from the recipe: 2 cups of flour for 30 cookies. This means each cookie requires 0.0667 cups of flour (2 cups ÷ 30 cookies). For 75 cookies, the calculation is 75 cookies × 0.0667 cups/cookie, which equals 5 cups of flour. Therefore, to make 75 cookies, 5 cups of flour are required, as it maintains the same ratio outlined in the original recipe.

To determine the distance the cyclist will travel in 5 hours, first calculate the rate of travel. The cyclist covers 24 miles in 2 hours, which gives a speed of 12 miles per hour (24 miles ÷ 2 hours). Multiplying this speed by 5 hours results in 60 miles (12 miles/hour × 5 hours). Thus, at the same rate, the cyclist will travel 60 miles in 5 hours.

To find the cost of 12 flowers, first determine the cost of one flower by dividing the price of 5 flowers by 5: $12.00 ÷ 5 = $2.40 per flower. Then, multiply the cost per flower by 12: $2.40 × 12 = $28.00. Therefore, the total cost for 12 flowers would be $28.00.

To determine the amount of sugar needed for 90 cookies, we first find the sugar per cookie by dividing 4 cups by 60 cookies, which equals approximately 0.0667 cups per cookie. Multiplying this by 90 cookies gives 6 cups of sugar. Thus, for 90 cookies, 6 cups of sugar are required to maintain the same sweetness and consistency as in the original recipe.