Ella Grace bought 5 plants for her backyard for $20 each and 3 chairs for her firepit for $20 each. She used this expression to calculate the total amount she spent.

(5⋅20)+(3⋅20)
(
5

20
)
+
(
3

20
)


What is another expression to calculate the total amount spent?

(1 point)
Responses

5⋅(20+3)
5

(
20
+
3
)
5 times open paren 20 plus 3 close paren

20⋅(5+3)
20

(
5
+
3
)
20 times open paren 5 plus 3 close paren

(5+20)⋅(3+20)
(
5
+
20
)

(
3
+
20
)
open paren 5 plus 20 close paren times open paren 3 plus 20 close paren

5⋅20⋅3

1 answer

To find another expression that calculates the total amount Ella Grace spent, we can look for a way to combine the individual costs into a single expression.

The original expression for the total amount spent is: \[ (5 \cdot 20) + (3 \cdot 20) \] This can be factored as: \[ 20 \cdot (5 + 3) \] This shows that she spent $20 on each of the 5 plants and $20 on each of the 3 chairs, which totals to 8 items.

Thus, the correct alternative expression is: \[ 20 \cdot (5 + 3) \] or simply, \[ 20 \cdot 8 \]

From the options provided, the correct response is: 20⋅(5+3)