Gary spent $48 on a watch. he spent 1/3 of the remainder on a pen if he still had 1/2 of his money left, how much money did he have at first?

*remember to show your work and triple check it to see if your answer is correct*

*singapore math*

Gary had $192.

Step-by-step explanation:

Let Gray has the money = $x

Gray spent on a watch = $48

Remainder money = $(x - 48)

He spent one third of the remainder on a pen.

Money spent on a pen =

This remainder money is the half of x then the total money spent

x = 6×32

x = 192

Money left after spending on watch = 192 - 48 = $144

Money spent on a pen = = $48

Money left = 144 - 48

                 = $96

This amount is half of the total money =

                                                               = $96

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1

inverse property is the answer

step-by-step explanation: