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x delivery persons carry a total of
B bags of groceries up the stairs. They can each carry
y bags at a time, and they each make 2 trips up the stairs.
Write an equation that relates
x,
B, and
y.

$x$ delivery persons carry a total of $B$ bags of groceries up the stairs. They can each carry $y$ bags at a time, and they each make $2$ trips up the stairs. $\newline$ Write an equation that relates $x$ , $B$ , and $y$ .

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Write and solve equations for proportional relationships

Full solution

Q.

x

delivery persons carry a total of

B

bags of groceries up the stairs. They can each carry

y

bags at a time, and they each make

2

trips up the stairs.

\newline

Write an equation that relates

x

,

B

, and

y

.

Delivery Person Capacity: Each delivery person carries $y$ bags at a time and makes $2$ trips. Therefore, the total number of bags one delivery person can carry is $2 \times y$ .
Total Bags Calculation: If there are $x$ delivery persons, then the total number of bags all delivery persons can carry is $x$ times the number of bags one person can carry, which is $x \times (2 \times y)$ .
Equation for Total Bags: The total number of bags $B$ is equal to the total number of bags all delivery persons can carry. Therefore, we can write the equation $B = x \times (2 \times y)$ .

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