Answer:
4.5 pounds of candy y
5.5 pounds of candy x
Step-by-step explanation:
Given
Let x and y represent the two candies
[tex]x + y = 10[/tex] --- the sum of both candies
[tex]2x + 4y =29[/tex] ---- the worth of candies
Required
The pound of each
[tex]x + y = 10[/tex]
Make x the subject
[tex]x = 10 - y[/tex]
Substitute [tex]x = 10 - y[/tex] in [tex]2x + 4y =29[/tex]
[tex]2(10 - y) + 4y = 29[/tex]
Open bracket
[tex]20 - 2y + 4y = 29[/tex]
[tex]20 + 2y = 29[/tex]
Collect like terms
[tex]2y = 29 - 20[/tex]
[tex]2y = 9[/tex]
Solve for y
[tex]y = 9/2[/tex]
[tex]y = 4.5[/tex]
Recall that: [tex]x = 10 - y[/tex]
[tex]x = 10 - 4.5[/tex]
[tex]x = 5.5[/tex]
