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=6 and x=3

beep beep imma sheep

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

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