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

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

think the answer would beb