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uysha [10]
3 years ago
13

A girl asks her father how many ties he has and he answers with a riddle: "seven-eighths of my ties plus four."

Mathematics
2 answers:
MatroZZZ [7]3 years ago
8 0
What he's saying is that 7/8 of his ties + 4 ties = all of his ties.
7/8x + 4 = x
Thus, 4 is 1/8 of his ties.
4 = 1/8x
So you simply multiply 4 by 8 to get 32 ties.
32 = x
To check, plug 32 back into the original equation:
7/8(32) + 4 = (32)
28 + 4 = 32
It works!
Hope that helps.
Effectus [21]3 years ago
5 0
All of his ties 7/8 plus four duhhh!
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Answer: The company should produce 7 skateboards and 16 rollerskates in order to maximize profit.

Step-by-step explanation: Let the skateboards be represented by s and the rollerskates be represented by r. The available amount of labour is 30 units, and to produce a skateboard requires 2 units of labor while to produce a rollerskate requires 1 unit. This can be expressed as follows;

2s + r = 30 ------(1)

Also there are 40 units of materials available, and to produce a skateboard requires 1 unit while a rollerskate requires 2 units. This too can be expressed as follows;

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With the pair of simultaneous equations we can now solve for both variables by using the substitution method as follows;

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Collect like terms,

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Divide both sides of the equation by -3

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(Rounded up to the nearest whole number, s = 7)

Substitute for the value of s into equation (1)

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Subtract 14 from both sides of the equation

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Therefore in order to maximize profit, the company should produce 7 skateboards and 16 rollerskates.

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