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A company uses 3 trucks to deliver a total of
T liters of cement. Each truck can transport
x liters of cement per trip, and makes a total of
y trips.
Write an equation that relates
T,
x, and
y.

A company uses $3$ trucks to deliver a total of $T$ liters of cement. Each truck can transport $x$ liters of cement per trip, and makes a total of $y$ trips. $\newline$ Write an equation that relates $T$ , $x$ , and $y$ .

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Write and solve equations for proportional relationships

Full solution

Q. A company uses

3

trucks to deliver a total of

T

liters of cement. Each truck can transport

x

liters of cement per trip, and makes a total of

y

trips.

\newline

Write an equation that relates

T

,

x

, and

y

.

Problem Understanding: Understand the problem. $\newline$ We are given that a company uses $3$ trucks to deliver cement. Each truck can transport $x$ liters of cement per trip and makes $y$ trips. We need to find an equation that relates the total liters of cement $T$ , the liters of cement per trip $x$ , and the number of trips $y$ .
Total Liters by One Truck: Determine the total liters of cement delivered by one truck. $\newline$ If one truck can transport $x$ liters of cement per trip and it makes $y$ trips, then the total liters of cement delivered by one truck is the product of $x$ and $y$ . $\newline$ Total liters by one truck = $x \times y$
Total Liters by All Trucks: Calculate the total liters of cement delivered by all trucks. $\newline$ Since there are $3$ trucks and each truck delivers the same amount of cement, we multiply the total liters delivered by one truck by $3$ to get the total liters of cement $T$ delivered by all trucks. $\newline$ $T = 3 \times (x \times y)$
Simplifying the Equation: Simplify the equation. $\newline$ We can simplify the equation by multiplying the constants together. $\newline$ $T = 3xy$

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