Tape Diagrams Quick Check 1 of 51 of 5 Items Question Use the image to answer the question. Nate is helping to redesign his basement. He is in charge of javascript :void(0);choosing and buying the paint. He wants a specific shade of green, so he is going to combine blue and yellow paint in the ratio of 1:3 . If he needs 8 gallons of paint, how much yellow paint does he need to buy?
To find out how much yellow paint Nate needs to buy, you can set up a ratio using the given ratio of blue to yellow paint.
The ratio is 1:3, which means for every 1 part of blue paint, he needs 3 parts of yellow paint.
Since he needs a total of 8 gallons of paint, you can divide it into 4 equal parts (1 part blue paint + 3 parts yellow paint = 4 parts).
To find out how much yellow paint he needs to buy, you can multiply the number of parts of yellow paint (3 parts) by the number of equal parts (4 parts).
3 parts of yellow paint x 4 parts = 12 parts of yellow paint.
So, Nate needs to buy 12 gallons of yellow paint.
To find out how much yellow paint Nate needs to buy, we can use the given ratio of blue to yellow paint, which is 1:3.
If Nate needs 8 gallons of paint in total, we can consider the ratio as follows:
1 + 3 = 4 parts
To find the quantity of yellow paint, we need to determine what one part represents in terms of gallons.
To do this, we divide the total quantity of paint (8 gallons) by the total number of parts (4 parts):
8 gallons ÷ 4 parts = 2 gallons
Now that we know that one part represents 2 gallons, we can determine the amount of yellow paint Nate needs.
Since the ratio is 1:3, Nate needs 3 parts of yellow paint. Therefore, to find out the total quantity of yellow paint, we multiply 3 (the number of parts) by 2 (the quantity represented by one part):
3 parts × 2 gallons/part = 6 gallons
Thus, Nate needs to buy 6 gallons of yellow paint.
To solve this question, we can use a tape diagram to represent the ratio of blue paint to yellow paint. A tape diagram is a visual representation that uses bars or rectangles to show the different parts of a whole.
In this case, the ratio of blue to yellow paint is 1:3. So, we can represent it using a tape diagram with two parts: one for blue paint and another for yellow paint.
First, draw a rectangle to represent the total amount of paint needed, which is 8 gallons. Divide this rectangle into four equal parts since the ratio is 1:3. This means one part represents the blue paint, and three parts represent the yellow paint.
Now, we need to find out how much yellow paint Nate needs to buy. Since there are three parts for yellow paint, we need to find out the value of one part.
To do this, divide the total amount of paint (8 gallons) by the total number of parts (4 parts).
8 gallons ÷ 4 parts = 2 gallons per part
So, one part represents 2 gallons of paint. Since there are three parts for yellow paint, we can multiply the value of one part by three to find out how much yellow paint Nate needs to buy.
2 gallons per part × 3 parts = 6 gallons
Therefore, Nate needs to buy 6 gallons of yellow paint.