Answer:
x + y = 36 (1)
7x + 4y = 216 (2)
Step-by-step explanation:
Quanrity of Holiday blend = 36 pounds
Cost per pound of the blend = $6.00
Cost of chocolate chips = $7.00 per pound
Cost of pretzels = $4.00 per pound
Let
Pounds of chocolate chips = x
Pounds of pretzels = y
x + y = 36 (1)
7x + 4y = 36 × $6.00
7x + 4y = 216 (2)
The system of equation is
x + y = 36 (1)
7x + 4y = 216 (2)
The main part of solving this problem is carefully looking at each and every word of the problem very minutely. The details required for solving the problem is already given in the question.
Let us assume the unknown number to be = x
Then the equation for getting to the unknown number can be written as
8x - 20 = x + 15
8x - x = 15 + 20
7x = 35
x = 35/7
= 5
So from the above deduction we can easily conclude that the unknown number in the question is 5.
Answer:
y - 6
Step-by-step explanation:
Given
y² - 10y + 24
Consider the factors of the constant term (+ 24) which sum to give the coefficient of the y- term (- 10)
The factors are - 4 and - 6, since
- 4 × - 6 = + 24 and - 4 - 6 = - 10, thus
y² - 10y + 24 = (y - 4)(y - 6)
Thus the other factor is (y - 6)
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