Question

3. At a bargain store, Tanya bought 3 items that each cost the same amount. Tony bought 4 items that each cost the same amount, but each was $2.25 less than the items that Tanya bought. Both Tanya and Tony paid the same amount of money. What was the individual cost of each person's items?

(a) Write an equation. Let x represent the cost of one of Tanya's items.

(b) Solve the equation. Show your work.

(c) Check your solution. Show your work.

(d) State the solution in complete sentences.

Answer 1

for A its 3x = 4x - 2.25?

Answer 2

Almost. It would be 3x = 4(x-2.25)

Answer 3

Oh, for B and C and D I will need help

Answer 4

Okay, so solve the equation. First step is to distribute the 4

Answer 5

distribute?

Answer 6

wait do I rest it from both numbers or do I add it?

Answer 7

3x = 4(x - 2.25) --> 3x = 4x + 4(-2.25) = ?

Answer 8

4 x -2.25?

Answer 9

What is 4 times -2.25?

Answer 10

9

Answer 11

its 9 right?

Answer 12

almost. -9

So you get 3x = 4x - 9

Answer 13

Now subtract 4x from both sides

Answer 14

-1x and -5?

Answer 15

?

Answer 16

almost
-x = -9

So x = 9

Answer 17

@StudyGurl14

Answer 18

Im back, sorry I had to do something

Answer 19

@StudyGurl14

Answer 20

Okay, so now that you have x=9 plug that back into your original equation to see if it holds true.

\[3x = 4(x-2.25)\]
\[3(9) = 4((9)-2.25)\]

Are those equal?

Answer 21

No

Answer 22

wait yes

Answer 23

@Austin.L

Answer 24

@inkyvoyd

Answer 25

They should be lol

Answer 26

The last part, you literally type out what you did in english sentences.

Answer 27

So the answer for C is what..?

Answer 28

Do the math for what I posted.

Answer 29

33.75?

Answer 30

What is 3*9?

Answer 31

27

Answer 32

4 x 9 = 36

Answer 33

Right, Now 4*2.25=9

36-9=27

Meaning they are equal.

Answer 34

Oh okay, and so thats the answer?

Answer 35

For C. Jus the work for it.

Answer 36

Ok

Answer 37

thank you so much