Question

a woodworking 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?

Answer 1

A. 2x + 3y ≤ 30, 6x + 4y ≤ 120

Answer 2

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