A Canadian, driving in the U.S.A., fuels their car at a cost of US$3.72 per gallon (US).
The current monetary exchange rate is 0.928 US$/Can$.
The density of the fuel is 0.626 g/mL.
What is the mass of Can$90.00-worth of this fuel?
Two concepts here.
mass = volume x density.
Exchange from US$ to CAN$ or the reverse.
Where are you having trouble?
i don't understand what the question is asking?
You have CAN $90.00 and you're driving in the US. You buy fuel in the US at $3.72 US dollars/gallon. What's the mass of fuel that can be bought for that CANADIAN $90.00. The problem doesn't give the unit for mass; I assume grams since the density is in g/mL.
16
To find the mass of Can$90.00-worth of this fuel, we need to convert the Canadian dollars to US dollars and then calculate the volume of fuel that Can$90.00 can buy. Finally, we can multiply the volume by the density to get the mass.
1. First, we need to convert Can$90.00 to US dollars using the exchange rate:
Can$90.00 x 0.928 US$/Can$ = US$83.52
So, Can$90.00 is equal to US$83.52.
2. Next, we need to calculate the volume of fuel that US$83.52 can buy. We know that the cost of fuel is US$3.72 per gallon.
So, the volume of fuel in gallons that US$83.52 can buy is:
US$83.52 / US$3.72 per gallon = 22.44 gallons
3. Finally, we can calculate the mass of the fuel by multiplying the volume (in gallons) by the density (in g/mL). First, we need to convert gallons to milliliters:
22.44 gallons x 3.78541 L/gallon x 1000 mL/L = 85,078.54 mL
Now, we can calculate the mass using the density:
85,078.54 mL x 0.626 g/mL = 53,244.73 g
Therefore, the mass of Can$90.00-worth of this fuel is approximately 53,244.73 grams.