Tristan has a pickup truck that could carry 3/5
-cord of firewood. Find the number of trips needed to carry 6 cords of wood.
To find the number of trips needed to carry 6 cords of wood, we need to divide the total amount of wood by the carrying capacity of Tristan's pickup truck.
Let's calculate it step by step:
Number of cords of wood Tristan's pickup truck can carry = 3/5
Number of trips needed to carry 6 cords of wood = 6 / (3/5)
To divide a number by a fraction, we need to multiply by its reciprocal:
6 / (3/5) = 6 * (5/3)
Calculating the expression:
6 * (5/3) = 30/3 = 10
Therefore, Tristan would need to make 10 trips to carry 6 cords of wood.
To find the number of trips needed to carry 6 cords of wood in Tristan's pickup truck, we can set up a proportion.
Let's say x represents the number of trips needed. Since Tristan's pickup truck can carry 3/5 of a cord of firewood in one trip, the proportion can be set up as:
(3/5) / 1 = 6 / x
To solve for x (the number of trips), we need to cross-multiply and then divide:
(3/5) * x = 6 * 1
Now we can simplify the equation:
(3x) / 5 = 6
Next, we can multiply both sides of the equation by 5 to eliminate the denominator:
3x = 6 * 5
Simplifying further:
3x = 30
Finally, divide both sides of the equation by 3 to solve for x:
x = 30 / 3
x = 10
Therefore, Tristan would need to make 10 trips to carry 6 cords of wood in his pickup truck.