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)
What is another expression to calculate the total amount spent?
5⋅(20+3)
(5+3)⋅20
(5+20)⋅(3+20)
5⋅20⋅3
(5⋅20)+(3⋅20) expands to 5⋅20+3⋅20. We can factor out the common factor of 20 to get (5+3)⋅20. Therefore, the correct expression to calculate the total amount spent is (5+3)⋅20.
The correct expression to calculate the total amount spent is:
(5⋅20) + (3⋅20)
To calculate the total amount Ella Grace spent, we need to multiply the number of plants and chairs by their individual prices, and then sum up the results.
The given expression (5⋅20)+(3⋅20) already calculates the total amount spent. Let's break it down:
(5⋅20) represents the cost of 5 plants at $20 each, which equals $100.
(3⋅20) represents the cost of 3 chairs at $20 each, which equals $60.
Adding these together, we get $100 + $60 = $160, which is the total amount spent.
Now, let's look at the other expressions and see if they calculate the same total amount spent:
1. 5⋅(20+3): This expression calculates the total amount spent by first adding the number of plants and chairs together, and then multiplying the sum by 5. The sum of 20 + 3 is 23, so 5⋅23 equals $115. This expression does not calculate the correct total amount spent.
2. (5+3)⋅20: This expression calculates the total amount spent by first adding the number of plants and chairs together, and then multiplying the sum by 20. The sum of 5 + 3 is 8, so 8⋅20 equals $160. This expression calculates the correct total amount spent.
3. (5+20)⋅(3+20): This expression calculates the total amount spent by adding the number of plants and chairs separately, and then multiplying them together. The sum of 5 + 20 is 25, and the sum of 3 + 20 is 23. Therefore, (5+20)⋅(3+20) equals 25⋅23, which equals $575. This expression does not calculate the correct total amount spent.
4. 5⋅20⋅3: This expression calculates the total amount spent by multiplying the number of plants by 20, and then multiplying the result by 3. 5⋅20 is $100, and $100⋅3 is $300. This expression does not calculate the correct total amount spent.
In conclusion, the only expression that calculates the correct total amount spent is the given expression: (5⋅20)+(3⋅20).