Interactive multiple-choice quiz: اختبار الوحدة الأولى (Ratios and Rates) - ريفيل

For Suri, the ratio of dimes to quarters is 6:4. For Martha, the ratio of dimes to quarters is 5:3. These ratios are not the same.

The ratio of players in group 1 to group 2 is 1:3. This means there are 1+3=4 total parts. Each part represents $48 \div 4 = 12$ players. Since group 2 has 3 parts, it will have 3 × 12 = 36 players.

The ratio of water to flour is 6:12, which simplifies to 1:2. If 4 cups of flour are used, we set up the proportion: $\frac{1}{2} = \frac{\text{water}}{4}$. Solving for water gives $\text{water} = \frac{1 \times 4}{2} = 2$ cups.

The ratio of pencils to pens is 10:4, which simplifies to 5:2. If the large package has 10 pens, we can set up a proportion: $\frac{5}{2} = \frac{\text{pencils}}{10}$. Solving for pencils gives $\text{pencils} = \frac{5 \times 10}{2} = 25$ pencils.

From the graph, for Lexi (red dots), for every 1 page, she places 6 photos, so her ratio of photos to pages is 6:1. For Audrey (blue dots), for every 1 page, she places 4 photos, so her ratio is 4:1. Since 4 is less than 6, Audrey uses fewer photos per page than Lexi.

From the table, the ratio of the number of beads to the bracelet length is constant: $28 \div 7 = 4$, $32 \div 8 = 4$, etc. This means 4 beads are needed per inch. For a bracelet length of 10.5 inches, the number of beads would be 10.5 × 4 = 42. A bracelet can indeed have a non-whole number length, so the point (10.5, 42) makes sense.

First, calculate the total cost for Party Time: $(25 \text{ adults} \times \$10.50/\text{adult}) + (12 \text{ children} \times \$6.00/\text{child}) = \$262.50 + \$72.00 = \$334.50$. Then, calculate the total cost for Planning Pros: $(25 \text{ adults} \times \$9.00/\text{adult}) + (12 \text{ children} \times \$7.50/\text{child}) = \$225.00 + \$90.00 = \$315.00$. The difference in cost is $\$334.50 - \$315.00 = \$19.50$.

The example of 'three packages of hot dogs cost 9.50' describes a ratio of quantity to price. Displaying this information in words on a sign or label in a store is a common and effective way for shoppers to quickly understand the deal without needing to interpret complex graphs or tables.

To find the number of students who own a bicycle, calculate $\frac{4}{5}$ of the total 800 students: $\frac{4}{5} \times 800 = 4 \times (800 \div 5) = 4 \times 160 = 640$ students.

In a 'Buy 3, Get 1 Free' sale, for every 3 plants sold, 1 plant is given away for free. If 636 plants were sold, the number of free plants given away is $636 \div 3 = 212$ plants. Since each plant cost the store 2.90, the total money lost by giving away free plants is212 \times \$2.90 = \$614.80$.

First, convert ounces to pounds: There are 16 ounces in 1 pound, so $48,000 \text{ ounces} \div 16 \text{ ounces/pound} = 3,000 \text{ pounds}$. Next, convert pounds to tons: There are 2,000 pounds in 1 ton, so $3,000 \text{ pounds} \div 2,000 \text{ pounds/ton} = 1.5 \text{ tons}$. This can be written as $1\frac{1}{2}$ tons.

The player shoots from 55 meters away from the goal. After the shot, the puck is 120 centimeters from the goal. Convert 120 centimeters to meters: $120 \text{ cm} \div 100 \text{ cm/meter} = 1.2 \text{ meters}$. The distance the puck traveled is the initial distance minus the remaining distance: 55 m - 1.2 m = 53.8 meters.

To find the pounds of hamburger used per patty, divide the total pounds of hamburger by the number of patties: $\frac{4 \text{ pounds}}{10 \text{ patties}} = 0.4 \text{ pounds per patty}$.

To find the number of heart beats per second, divide the total number of beats by the total time in seconds: $\frac{45 \text{ beats}}{15 \text{ seconds}} = 3 \text{ beats per second}$.

First, find Tara's typing rate: $\frac{180 \text{ words}}{4 \text{ minutes}} = 45 \text{ words per minute}$. Then, multiply her rate by 10 minutes to find how many words she can type: 45 words/minute × 10 minutes = 450 words.