Answer:
The quantity of clover seeds in pounds to be added is 11.14
Step-by-step explanation:
Let
x -----> the quantity of poppy seeds in pounds
y -----> the quantity of clover seeds in pounds
we know that
[tex]24(x)+13(y)=20.70(x+y)[/tex] -----> equation A
[tex]x=26\ pounds[/tex] ----> equation B
substitute equation B in equation A and solve for y
[tex]24(26)+13(y)=20.70(26+y)[/tex]
[tex]624+13y=538.2+20,70y[/tex]
[tex]20.70y-13y=624-538.2[/tex]
[tex]7.7y=85.8[/tex]
[tex]y=11.14\ pounds[/tex]
therefore
The quantity of clover seeds in pounds to be added is 11.14
Answer:
11.14 pounds ( approx )
Step-by-step explanation:
Let x pounds of poppy seeds and y pounds of clover seeds were mixed,
∵ Poppy seed costs 24$ per pound and clover seed costs 13.00$ per pound,
Thus the total cost of x pounds of poppy seeds and y pounds of clover seeds = 24x + 13y,
According to the question,
Resultant mixture costs $ 20.70 per pound,
∴ Total cost = 20.70(x+y),
[tex]\implies 24x + 13y = 20.70(x+y)[/tex]
[tex]24x + 13y = 20.70x + 20.70y[/tex]
[tex]24x - 20.70x = 20.70y - 13y[/tex]
[tex]3.3x = 7.7y[/tex]
[tex]\implies y = \frac{3.3}{7.7}x=\frac{3}{7}x[/tex]
If x = 26,
[tex]y=\frac{3}{7}\times 26=\frac{78}{7}=11.1428571429\approx 11.14[/tex]
Hence, 11.14 pounds of clover seeds should be added.
