Awoodworking artist makes two types of carvings type x and type y he spends 2 hours making each type x carving and 3 hours making each type y carving and he can spend up to 30 hours each week making carvings his materials cost him $6 for each type x carvings and $4 for each type y carving and he must keep his weekly cost for materials to 120 or less if x is the number of type x carvings he makes in a week and y is the number of type y carvings he makes in a week, which of the following systems of inequalities models this situation?

Solution:

Number of carving made = Two Types X and Y

x = number of Type X carvings artist makes in a week and

Y = the number of type y carvings Artist makes in a week

Artist spends 2 hours making each type X carving and 3 hours making each type y carving and he can spend up to 30 hours each week making carvings.

Above Statement in terms of equation

1. 2 X + 3 Y ≤ 30

Artist materials cost him $6 for each type X carvings and $4 for each type y carving and  weekly cost for materials to 120 or less.

Above Statement in terms of equation

2. 6 x + 4 y ≤ 120

For the situation Described , the inequality will be

1. X > 0

2. Y > 0

3.  2 X + 3 Y ≤ 30

4.  6 x + 4 y ≤ 120

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