The newest John Deere combine machine can harvest 180 acres of wheat in 6 hours. How many acres will be harvested in 10 hours?(1 point)
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The newest John Deere combine machine can harvest 180 acres of wheat in 6 hours. How many acres will be harvested in 10 hours?(1 point)
acres
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Step by step answers
To find the number of acres that will be harvested in 10 hours, you can set up a proportion based on the ratio of acres harvested to hours.
The proportion can be set up as:
180 acres / 6 hours = x acres / 10 hours
To solve for x, you can cross multiply:
6x = 180 * 10
Simplifying the right side of the equation:
6x = 1800
Divide both sides of the equation by 6:
x = 1800 / 6 = 300
Therefore, the newest John Deere combine machine can harvest 300 acres of wheat in 10 hours.
Explain an easier way
Another way to solve this problem is to use ratios.
The rate at which the John Deere combine machine harvests wheat can be expressed as 180 acres per 6 hours.
To find the rate of acres harvested per hour, divide the number of acres by the number of hours:
180 acres / 6 hours = 30 acres/hour
Now, you can simply multiply the rate (30 acres/hour) by the number of hours (10) to find the total number of acres harvested:
30 acres/hour * 10 hours = 300 acres
Thus, the newest John Deere combine machine will harvest 300 acres of wheat in 10 hours.
To find out how many acres will be harvested in 10 hours, we can use a proportion equation:
180 acres harvested / 6 hours = x acres harvested / 10 hours
To solve for x, we can cross multiply and then divide:
180 acres harvested * 10 hours = 6 hours * x acres harvested
1800 acres*hours = 6x acres*hours
To isolate x, we can divide both sides of the equation by 6:
1800 acres*hours / 6 = 6x acres*hours / 6
300 acres = x acres
Therefore, in 10 hours, the newest John Deere combine machine will harvest 300 acres of wheat.