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Matrix question?
3. At a local bakery, single-crust pies sell for $6 and double-crust pies sell for $10. The total number of pies sold on Monday was 25. If the sales total for Monday was $210 for these 2 types of pies, find the number of each type sold.
a. Write a system of two linear equations to match the problem.
b. Solve this problem using a matrix equation. Show your work.
Explain how you got it so I know for next time please. 10 points for best answer!
1 Answer
- Anonymous7 years agoFavorite Answer
Price of single-crust pie = 6
Price of double-crust pies = 10
Total sold = 25
ASSUME
single-crust pie sold = x
double-crust pies Sold = y
THEN
Item counts
x+y = 25
Value counts
6x + 10y = 210
Solving
x+y = 25 --- eq 1
6x + 10y = 210 --- eq 2
from 'eq 1'
y = 25 - x
Substituting
6x + 10 (25 - x) = 210
6x + 250 - 10x = 210
40 - 4x = 0
x = 10
so y = 25 -x
y = 15
single-crust pies Sold = 10
double-crust pies sold = 15
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Matrix resolution .. refer to the image
