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6. Lily and Sara each had an equal amount of money at first. After Lily
spent $18 and Sara spent $25, Lily had twice as much as Sara. How
much money did each of them have at first?

Respuesta :

X-18 = 2 (X-25)
x-18 = 2x - 50
-18 = x - 50
32 = x

check
32-18 = 14 = 2(32-25) = 2*7
32 is the answer

Answer:

$32

Step-by-step explanation:

Both Lily and Sarh began with the same amount of money, represented by the variable (x).

Lily spends (take a away from her money) $18

L = x - 18

Sara spends (take a away from her money) $25

S = x - 25

Next: Lily as 2 times the amount of money Sara has after they each spend their money.

L = 2S

x - 18 = 2 ( x - 25 )

x - 18 = 2x - 50

(x - 18) + 50 = (2x - 50) + 50

cancels out 50 by adding to each side

x + 32 = 2x

(x + 32) - x = (2x) - x

cancels out x by subtracting from each side

32 = x

CHECK:

L = X - 18

L = 32 - 18 = 14

S = X - 25

S = 32 - 25 = 7

L = 2S

14 = 2 (7)