Abel Save a 43 more nickels than dimes. After he spents 17 dimes, he had twice as many nickel than dimes . How many coins did he have left ?

Is the below answer is correct because in question he is saying twice as many nickel than dimes

number of dimes --- x
number of nickels -- x+43

he spends 17 dimes, so he has x-17 dimes left

x+43 = 2(x-17)

thank u

To solve this problem, we can set up an equation based on the information given.

Let's assume the number of dimes Abel initially had is "x". Therefore, the number of nickels he initially had would be "x + 43".

After spending 17 dimes, he would have "x - 17" dimes left.

According to the given information, Abel then had twice as many nickels as dimes left. So, we can set up the equation as follows:

x + 43 = 2(x - 17)

Now, let's solve the equation:

x + 43 = 2x - 34

Subtract "x" from both sides:

43 = x - 34

Add 34 to both sides:

77 = x

Therefore, Abel initially had 77 dimes.

To find the number of coins he had left, we can substitute this value back into the initial equation:

x + 43 = 77 + 43 = 120 nickels.

So, the total number of coins Abel had left would be 77 dimes + 120 nickels = 197 coins.

To solve this problem, we can start by setting up equations based on the information given in the question.

Let's say the number of dimes Abel initially had is represented by 'x'. According to the question, Abel saved 43 more nickels than dimes. So, the number of nickels he initially had would be 'x + 43'.

After Abel spent 17 dimes, he had 'x - 17' dimes left. And it was mentioned that he had twice as many nickels as dimes at that point.

So, the equation representing this situation would be:

x - 17 = 2(x + 43)

Now let's solve this equation to find the value of 'x' (the number of dimes initially).

x - 17 = 2x + 86 (distributing 2 to both terms inside the parentheses)
x - 2x = 86 + 17 (subtracting 'x' from both sides)
- x = 103 (combining like terms)
x = -103 (dividing both sides by -1 to solve for x)

Since it is not logical to have a negative number of dimes, we can conclude that there must have been an error in the initial setup or in the question itself.

Therefore, we cannot determine the number of coins Abel had left based on the given information.

n = d + 43

(d - 17) = .5 n or d = .5 n + 17

so
n = .5 n + 17 + 43

.5 n = 60

n = 120
d = n-43 = 77
that is at the start
but he spent 17 dimes
so
120 + 60 = 180 coins left