Gio mows lawns for $25 each. He already has $250 in his bank account, but is trying to save

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)

GPT-4o mini · Answer

To find out how many lawns Gio needs to mow to reach his savings goal, we first determine how much more money he needs to save.

Gio's goal is to save $900, and he already has $250.

So, we calculate the additional amount he needs:

\[ 900 - 250 = 650 \]

Gio needs to save an additional $650. Since he earns $25 for each lawn he mows, we can find out how many lawns he needs to mow by dividing the additional amount by the amount he earns per lawn:

\[ \frac{650}{25} = 26 \]

Therefore, Gio needs to mow 26 lawns to reach his savings goal of $900.

Answer

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)

GPT-4o mini · Answer

To find the cost of the lunch meat, we first need to determine how much Lani spent on the lunch meat by subtracting the amounts spent on apples and crackers from the total grocery cost.

Total spent: $30.25
Spent on apples: $5.25
Spent on crackers: $3.25

Now, calculate the total amount spent on apples and crackers:

\[ 5.25 + 3.25 = 8.50 \]

Next, subtract this total from the total grocery amount to find out how much was spent on lunch meat:

\[ 30.25 - 8.50 = 21.75 \]

So, Lani spent $21.75 on lunch meat.

Now, to find the cost per pound of lunch meat, we divide the total spent on lunch meat by the number of pounds (3 pounds):

\[ \frac{21.75}{3} = 7.25 \]

Therefore, the lunch meat cost $7.25 per pound.

Answer

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)

GPT-4o mini · Answer

To find the length of the rectangular dog run, we can use the formula for the perimeter of a rectangle, which is given by:

\[ P = 2(L + W) \]

where $ P $ is the perimeter, $ L $ is the length, and $ W $ is the width.

Sari has 40 feet of fencing, so the perimeter $ P $ is 40 feet. The width $ W $ is given as 8 feet. We can substitute these values into the formula:

\[ 40 = 2(L + 8) \]

Now, divide both sides by 2 to simplify:

\[ 20 = L + 8 \]

Next, subtract 8 from both sides to solve for $ L $:

\[ L = 20 - 8 \] \[ L = 12 \]

Therefore, the length of the dog run will be 12 feet.

Answer

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)

GPT-4o mini · Answer

Let's denote the number of batches Siara made as $ x $.

Each batch makes 75 biscuits, so the total number of biscuits from the batches is $ 75x $. Additionally, she receives 60 biscuits from her friend.

The total number of biscuits she has is given to be 360. Therefore, we can set up the following equation:

\[ 75x + 60 = 360 \]

Now, we can solve for $ x $. First, subtract 60 from both sides:

\[ 75x = 360 - 60 \] \[ 75x = 300 \]

Next, divide both sides by 75 to find $ x $:

\[ x = \frac{300}{75} \] \[ x = 4 \]

Therefore, Siara made 4 batches of biscuits.

Answer

Jose has a comic book collection that he keeps among 5 shelves with an equal number on
each shelf. His father adds 20 comic books to the bottom shelf, so the shelf now has 125 books.
How many total books are in his collection? Use algebra to solve the equation. (1 point)

GPT-4o mini · Answer

Let $ x $ be the number of comic books on each shelf before the father adds the 20 comic books. Since Jose has 5 shelves with an equal number of books on each shelf, the total number of comic books in the collection before the addition of the 20 books can be expressed as: $$ 5x $$ When Jose's father adds 20 comic books to the bottom shelf, the number of comic books on that shelf becomes: $$ x + 20 $$ It is given that after this addition, the bottom shelf has 125 comic books: $$ x + 20 = 125 $$ Now, we can solve for $ x $ by subtracting 20 from both sides: $$ x = 125 - 20 $$ $$ x = 105 $$ Now that we know there are 105 comic books on each shelf, we can find the total number of comic books in the collection: $$ 5x = 5 \times 105 = 525 $$ Therefore, the total number of comic books in Jose's collection is **525**.