Question

with average use, a toaster oven and a convection oven together consume 21 kilowatt hours (kwh) of electricity each month. a convection oven uses six times as much electricity as a toaster oven. how much does each use per month? the toaster oven uses kwh, and the convection oven uses kwh. (type whole numbers)

Explanation:

Step1: Let the electricity - use of the toaster oven be $x$ kWh per month.

Since the convection oven uses six times as much electricity as the toaster oven, the electricity - use of the convection oven is $6x$ kWh per month.

Step2: Set up an equation based on the total electricity consumption.

The total electricity consumption of the toaster oven and the convection oven is $x + 6x=21$ kWh per month. Combining like terms, we get $7x = 21$.

Step3: Solve for $x$.

Divide both sides of the equation $7x = 21$ by 7. So, $x=\frac{21}{7}=3$ kWh (this is the electricity - use of the toaster oven).

Step4: Find the electricity - use of the convection oven.

Since the convection oven uses $6x$ kWh and $x = 3$, then the convection oven uses $6\times3 = 18$ kWh.

Answer:

The toaster oven uses 3 kWh, and the convection oven uses 18 kWh.