Answer:one type of violin that was sold that week is 5 while the other type is 2
Step-by-step explanation:
Let x represent one type of violin that was sold that week.
Let y represent the other type of violin that was sold that week.
In one week a music store sold 7 violins. This means that
x + y = 7
Two different types of violins were sold for a total of $1600. One type cost $200 and the other type cost $300. This means that
200x + 300y = 1600 - - - - - - - - - 1
Substituting x = 7 - y into equation 1, it becomes
200(7 - y) + 300y = 1600
1400 - 200y + 300y = 1600
- 200y + 300y = 1600 - 1400
100y = 200
y = 200/100 = 2
Substituting y = 2 into x = 7 - y, it becomes
x = 7 - 2 = 5
