QuestionBill's Roast Beef sells 8 times Pete's sandwiches. Their sales differ by 434. Find how many sandwiches each sold.

Studdy Solution

STEP 1

Assumptions1. Bill's Roast Beef sells8 times as many sandwiches as Pete's Deli. . The difference between their sales is434 sandwiches.

STEP 2

Let's denote the number of sandwiches Pete's Deli sells as $x$ . Therefore, the number of sandwiches Bill's Roast Beef sells is $8x$ .

STEP 3

According to the problem, the difference between the number of sandwiches Bill's Roast Beef sells and the number of sandwiches Pete's Deli sells is434. We can express this as an equation $8x - x =434$

STEP 4

implify the equation by combining like terms.
$7x =434$

STEP 5

To find the value of $x$ , which represents the number of sandwiches Pete's Deli sells, we need to divide both sides of the equation by7.
$x =434 /7$

STEP 6

Calculate the value of $x$ .
$x =434 / =62$

STEP 7

Now that we know Pete's Deli sells62 sandwiches, we can find out how many sandwiches Bill's Roast Beef sells by multiplying this number by.
$x = \\times62$

STEP 8

Calculate the number of sandwiches Bill's Roast Beef sells.
$8x =8 \\times62 =496$ ete's Deli sold62 sandwiches and Bill's Roast Beef sold496 sandwiches.

Was this helpful?

QuestionBill's Roast Beef sells 8 times Pete's sandwiches. Their sales differ by 434. Find how many sandwiches each sold.

Studdy Solution

STEP 1

Assumptions1. Bill's Roast Beef sells8 times as many sandwiches as Pete's Deli. . The difference between their sales is434 sandwiches.

STEP 2

Let's denote the number of sandwiches Pete's Deli sells as $x$ . Therefore, the number of sandwiches Bill's Roast Beef sells is $8x$ .

STEP 3

According to the problem, the difference between the number of sandwiches Bill's Roast Beef sells and the number of sandwiches Pete's Deli sells is434. We can express this as an equation $8x - x =434$

STEP 4

implify the equation by combining like terms.
$7x =434$

STEP 5

To find the value of $x$ , which represents the number of sandwiches Pete's Deli sells, we need to divide both sides of the equation by7.
$x =434 /7$

STEP 6

Calculate the value of $x$ .
$x =434 / =62$

STEP 7

Now that we know Pete's Deli sells62 sandwiches, we can find out how many sandwiches Bill's Roast Beef sells by multiplying this number by.
$x = \\times62$

STEP 8

Calculate the number of sandwiches Bill's Roast Beef sells.
$8x =8 \\times62 =496$ ete's Deli sold62 sandwiches and Bill's Roast Beef sold496 sandwiches.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionBill's Roast Beef sells 8 times Pete's sandwiches. Their sales differ by 434. Find how many sandwiches each sold.

Studdy Solution

STEP 1

Assumptions1. Bill's Roast Beef sells8 times as many sandwiches as Pete's Deli. . The difference between their sales is434 sandwiches.

STEP 2

Let's denote the number of sandwiches Pete's Deli sells as xxx. Therefore, the number of sandwiches Bill's Roast Beef sells is 8x8x8x.

STEP 3

According to the problem, the difference between the number of sandwiches Bill's Roast Beef sells and the number of sandwiches Pete's Deli sells is434. We can express this as an equation8x−x=4348x - x =4348x−x=434

STEP 4

implify the equation by combining like terms.7x=4347x =4347x=434

STEP 5

To find the value of xxx, which represents the number of sandwiches Pete's Deli sells, we need to divide both sides of the equation by7.x=434/7x =434 /7x=434/7

STEP 6

Calculate the value of xxx.x=434/=62x =434 / =62x=434/=62

STEP 7

Now that we know Pete's Deli sells62 sandwiches, we can find out how many sandwiches Bill's Roast Beef sells by multiplying this number by.x=times62x = \\times62x=times62

STEP 8

Calculate the number of sandwiches Bill's Roast Beef sells.8x=8times62=4968x =8 \\times62 =4968x=8times62=496ete's Deli sold62 sandwiches and Bill's Roast Beef sold496 sandwiches.

Get Studdy

Studdy solves anything!

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Let's denote the number of sandwiches Pete's Deli sells as $x$ . Therefore, the number of sandwiches Bill's Roast Beef sells is $8x$ .

According to the problem, the difference between the number of sandwiches Bill's Roast Beef sells and the number of sandwiches Pete's Deli sells is434. We can express this as an equation $8x - x =434$

implify the equation by combining like terms.
$7x =434$

To find the value of $x$ , which represents the number of sandwiches Pete's Deli sells, we need to divide both sides of the equation by7.
$x =434 /7$

Calculate the value of $x$ .
$x =434 / =62$

Now that we know Pete's Deli sells62 sandwiches, we can find out how many sandwiches Bill's Roast Beef sells by multiplying this number by.
$x = \\times62$

Calculate the number of sandwiches Bill's Roast Beef sells.
$8x =8 \\times62 =496$ ete's Deli sold62 sandwiches and Bill's Roast Beef sold496 sandwiches.