Respuesta :
The equation to model the situation of x is (0.5x + 7.5) = 0.75(x + 6)
What is the equation?
The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
Given data as :
There are x wooden beads at $0.50 each necklace.
There are 6 glass beads at $1.25 each necklace.
Since the cost of the beads in a necklace is addition of wooden beads and glass beads.
So, 0.50x + 6*1.25 = 0.5x + 7.5 dollars
There are (x+6) beads.
Consider that the beads usually cost $0.75 each
(0.5x + 7.5)/(x+6) = 0.75
0.5x + 7.5 = 0.75(x+6)
0.5x + 7.5 = 0.75x + 4.5
7.5 - 4.5 = 0.75x - 0.5x
3 = 0.25x or
0.25x = 3
x = 3/0.25
x = 12
Hence, the equation to model the situation of x is (0.5x + 7.5) = 0.75(x + 6)
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