Jim has eight more dimes than quarters in his pocket for a total of $2.90. the equation 0.10(x + 8) + 0.25(x) = 2.90 models the number of quarters, x, in his pocket. how many quarters are in jim's pocket?

We are given: Jim has eight more dimes than quarters.

Let us assume Jim has number of quarters = x.

Number of dimes  = number of quarters + 8 = x + 8.

Total value = $2.90.

So,  equation would be 0.10(x + 8) + 0.25(x) = 2.90 .

Let us solve equation for x now.

Distributing 0.10 over (x+8) we get

0.10x + 0.8 +  + 0.25x = 2.90

Comining like terms.

0.35x +0.8 = 2.90.

Subtracting 0.8 from both sides, we get

0.35x +0.8-0.8 = 2.90 - 0.8

0.35x = 2.1

Dividing both sides by 0.35, we get

x = 6.

Therefore, 6 quarters are in jim's pocket.

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer

a

step-by-step explanation: