Compare Solution Methods for Two-Step Equations Practice
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Question
Gio mows lawns for $25 each. He already has $250 in his bank account, but is trying to save $900. How many lawns will he need to mow to reach his goal?(1 point)
To solve this problem, we can set up a two-step equation. Let's represent the number of lawns Gio needs to mow as "x".
The money Gio earns from mowing lawns can be represented as 25x.
He already has $250 in his bank account, so the total money he has is $250 + 25x.
To reach his goal of $900, we can set up the equation:
250 + 25x = 900
To solve this equation, we can subtract 250 from both sides:
25x = 900 - 250
25x = 650
To find the value of "x", we need to divide both sides by 25:
x = 650/25
x = 26
Therefore, Gio will need to mow 26 lawns to reach his goal of saving $900.
Lani buys groceries at the store for $30.25. He spent $5.25 on apples, $3.25 on a box of crackers, and the rest on 3 pounds of lunch meat. How much did the lunch meat cost, in dollars per pound?(1 point)
dollars per pound
To find the cost of the lunch meat per pound, we need to subtract the cost of the apples and crackers from the total cost of the groceries.
Total cost of groceries = $30.25
Cost of apples = $5.25
Cost of crackers = $3.25
Cost of lunch meat = Total cost of groceries - (Cost of apples + Cost of crackers)
= $30.25 - ($5.25 + $3.25)
= $30.25 - $8.50
= $21.75
Now, to find the cost per pound, we divide the cost of the lunch meat by the number of pounds of lunch meat.
Since the cost of lunch meat is $21.75 and he bought 3 pounds of it, we can set up the equation:
Cost per pound = Total cost of lunch meat / Number of pounds
= $21.75 / 3
= $7.25/pound
Therefore, the lunch meat cost $7.25 per pound.
Sari is creating a dog run space in her backyard. She has 40 feet of fencing to go around the outside, and she wants to make it rectangular with a width of 8 feet. What will the length be, in feet?(1 point)
feet
To find the length of the rectangular dog run, we can use the perimeter formula for a rectangle:
Perimeter = 2(length + width)
In this case, we know the perimeter is 40 feet, and the width is 8 feet. Let's substitute these values into the formula:
40 = 2(length + 8)
To solve for the length, we need to isolate it. First, let's distribute the 2 to the terms in the parentheses:
40 = 2(length) + 2(8)
Simplifying further:
40 = 2(length) + 16
Next, let's subtract 16 from both sides of the equation:
40 - 16 = 2(length) + 16 - 16
24 = 2(length)
To isolate the length, we divide both sides of the equation by 2:
24/2 = (2(length))/2
12 = length
Therefore, the length of the rectangular dog run will be 12 feet.
Siara is baking biscuits for a bake sale. Each batch makes 75 biscuits, and her friend gives her another 60 biscuits. She ends up with 360 biscuits total for the bake sale. Use algebra to solve for how many batches she made.(1 point)
Let's represent the number of batches Siara made as "x".
Each batch makes 75 biscuits, so the number of biscuits from the batches is 75x.
Her friend gives her an additional 60 biscuits, so the total number of biscuits is 75x + 60.
We know that the total number of biscuits for the bake sale is 360, so we can set up the equation:
75x + 60 = 360
To solve this equation for x, we need to isolate the variable x. We can start by subtracting 60 from both sides of the equation:
75x + 60 - 60 = 360 - 60
75x = 300
Next, we divide both sides of the equation by 75:
75x/75 = 300/75
x = 4
Therefore, Siara made 4 batches of biscuits for the bake sale.