## anonymous one year ago 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?

1. anonymous

What have you gotten so far?

2. anonymous

nothing i need help

3. anonymous

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?

4. anonymous

yeah

5. anonymous

And 2*18 equals what?

6. anonymous

36

7. anonymous

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

8. anonymous

25+36=61

9. anonymous

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?

10. anonymous

2/3

11. anonymous

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

12. anonymous

2/3

13. anonymous

idk if im right

14. anonymous

15. anonymous

oh then idk

16. anonymous

3?

17. anonymous

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

18. anonymous

So 61*3=what?

19. anonymous

ok thanks

20. anonymous

No problem :)

21. anonymous

\$183

22. anonymous