Answer:
5 Pounds
Step-by-step explanation:
Let A represent the number of pounds of $6 candy
Let B represent the number of pounds of $9 candy
Therefore ,
A + B = 15
A= 15 - B
6 × A + 9 × B = 15 × 7
6A + 9B = 105
In order to find B we substitute 15-B for A in the equation.
6 x (15 - B ) + 9B = 105
90 - 6B + 9B = 105
3B = 105 - 90
3B = 15
B = 5
To solve for A
A = 15 - B
Where B is 5
A = 15 - 5
A = 10
From the calculation,
Number of pounds of $6 per pound candy is 10 and the number of pounds of the $9 per pound candy is 5.
Therefore, since B is representing the number of pounds of the $9 candy , and it is the most expensive, then 5 pounds of the more expensive candy are needed to produce a 15-pound mixture that sells for $7.00 per pound.
