Question

50 POINTS!!!A landscaper needs to mix gas and oil to power a string trimmer and chainsaw. The mix requires

a ratio of 1 gallon of gasoline to 2.6 ounces of oil. If the ratio remains the same, how many
ounces of oil are needed when the landscaper uses four gallons of gasoline? Create a double line
diagram to solve this problem

Answer 1

To find out how many ounces of oil are needed when using four gallons of gasoline, we can use a proportion:

1 gallon of gasoline : 2.6 ounces of oil = 4 gallons of gasoline : x ounces of oil

Simplifying this proportion, we get:

x = (4 gallons of gasoline x 2.6 ounces of oil) / 1 gallon of gasoline

x = 10.4 ounces of oil

Therefore, the landscaper will need 10.4 ounces of oil when using four gallons of gasoline.

Here's a double line diagram to solve this problem:

1 gallon of gasoline : 2.6 ounces of oil

4 gallons of gasoline : x ounces of oil

To solve for x, we can cross-multiply and get:

1 gallon of gasoline x x ounces of oil = 4 gallons of gasoline x 2.6 ounces of oil

x = (4 gallons of gasoline x 2.6 ounces of oil) / 1 gallon of gasoline

x = 10.4 ounces of oil

Explanation:

hope its help <;

Answer 2

Explanation:

To solve this problem using a double line diagram, we can start by drawing two parallel lines representing the two quantities in the ratio:

Gasoline: |----------------------|

Oil: |-----------------|

We know that the ratio of gasoline to oil is 1 gallon to 2.6 ounces. We can use this ratio to divide the lines into equal parts. Since 1 gallon equals 128 ounces, we can divide the gasoline line into 128 equal parts, each representing 1 ounce. Then, we can divide the oil line into 2.6 equal parts, each representing 2.6 ounces.

Gasoline: |--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|--------|

Oil: |-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|

Now, we can use the diagram to find out how many ounces of oil are needed when the landscaper uses four gallons of gasoline. To do this, we can simply count the number of parts on the oil line that correspond to four gallons on the gasoline line:

Gasoline: |--------|--------|--------|--------|

Oil: |-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|-----|

From the diagram, we can see that 4 gallons of gasoline correspond to 104 parts on the gasoline line. Therefore, the landscaper needs:

104 parts × 2.6 ounces per part = 270.4 ounces of oil

So, the landscaper needs 270.4 ounces of oil when using four gallons of gasoline at a ratio of 1 gallon to 2.6 ounces of oil.