Question

Randi needs to mow her lawn. The mixture requires 5 gallons of gas for every 2 gallons of oil. How much oil will she need for 8 gallons of gas? Your answer should be in tenths.(1 point)

gallons

Answer 1

To determine how much oil Randi will need for 8 gallons of gas, we start with the ratio of gas to oil, which is 5 gallons of gas for every 2 gallons of oil.

First, let's find out how much oil corresponds to 8 gallons of gas based on this ratio.

1. Set up the proportion based on the original ratio:
\[
\frac{5 \text{ gallons of gas}}{2 \text{ gallons of oil}} = \frac{8 \text{ gallons of gas}}{x \text{ gallons of oil}}
\]

2. Cross-multiply to solve for \(x\):
\[
5x = 2 \times 8
\]
\[
5x = 16
\]

3. Divide both sides by 5 to find \(x\):
\[
x = \frac{16}{5} = 3.2
\]

Thus, Randi will need **3.2 gallons of oil** for 8 gallons of gas.