Answer:
40 pounds of candy worth $1.25
30 pounds of candy worth $1.60
Step-by-step explanation:
1.25x + 112 -1.6x = 98
-0.35x = -14
0.35x = 14
x= 40 pounds
70 pounds in total - 40 pounds = 30
y = 30 pounds
The quantity of each candy can be calculated by using algebraic expression.
The quantity of candy type 1 is [tex]40 \:\rm pound[/tex] and type 2 is [tex]30\:\rm pounds[/tex].
Given:
The cost of type I is [tex]\$1.25[/tex].
The cost of type II is [tex]\$1.6[/tex].
The total candies is [tex]70\:\rm pounds[/tex].
Let [tex]x[/tex] pounds is the type I candies and [tex]y[/tex] pounds is the type II candies.
The salesman mixed two candies,
[tex]x+y=70\\x=70-y[/tex]
As per the question statement sum of type I candies multiply by cost of type I and type II candies multiply by cost of type II.
[tex]1.25x + 1.6y = 70\times 1.40\\1.25x + 1.6y = 98[/tex]
Substitute [tex](70-y)[/tex] for [tex]x[/tex].
[tex]\begin{aligned}1.25(70-y)+1.6y=98\\87.5-1.25y+1.6y=98\\0.35y=10.5\\y=30\\\end[/tex]
Now, find the value of [tex]x[/tex].
[tex]x=70-30\\x=40[/tex]
Thus, the quantity of candy type 1 is [tex]40 \:\rm pound[/tex] and type 2 is [tex]30\:\rm pounds[/tex].
Learn more about algebraic expression here:
https://brainly.com/question/14349790
