Question

HELP WILL MEDAL AND FAN
Solve the following problem by working backward. Show and explain each step.
Maria received a gift of cash from her grandmother. She put two-thirds of the money in her savings account, spent twenty-five dollars on a pair of jeans, and spent half the remaining money on a DVD. If Maria has eighteen dollars left over, how much money did she receive from her grandmother?

Answer 1

What have you gotten so far?

Answer 2

nothing i need help

Answer 3

Well, let's go through this step by step. If she has 18 after spending half on the DVD, that means she had 2*18 before the DVD, right?

Answer 4

yeah

Answer 5

And 2*18 equals what?

Answer 6

36

Answer 7

Right. So now we take the amount spent on jeans and add it to 36.

Answer 8

25+36=61

Answer 9

Right. So since she spent put 2/3 in the savings account, that means we have 1/3 of the total right now at 61. So what will we multiply the 61 by to get the total?

Answer 10

2/3

Answer 11

Here, I'll write in equation form to make it a little easier. \[\frac{ 1 }{ 3 }*x=1\] What would x be?

Answer 12

2/3

Answer 13

idk if im right

Answer 14

We're MULTIPLYING, not adding.

Answer 15

oh then idk

Answer 16

3?

Answer 17

Hint: It's the inverse of 1/3. Right, it would be 3.

Answer 18

So 61*3=what?

Answer 19

ok thanks

Answer 20

No problem :)

Answer 21

$183

Answer 22

@LegendarySadist

Answer 23

Yes, that would be it.