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)

Question

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Answer 1

First, we need to determine the ratio of gas to oil in the mixture, which is 5:2.

If Randi needs 8 gallons of gas, we can set up a proportion to find out how much oil she needs:

$\frac{8 \text{ gallons of gas}}{x \text{ gallons of oil}} = \frac{5 \text{ gallons of gas}}{2 \text{ gallons of oil}}$

To solve for x, we can cross-multiply:

$8 \text{ gallons of gas} \cdot 2 \text{ gallons of oil} = 5 \text{ gallons of gas} \cdot x \text{ gallons of oil}$

$16 = 5x$

Dividing both sides by 5:

$x = \frac{16}{5} = 3.2$

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