mrs. winship sells chocolate fudge for $7.50 per pound and peanut butter fudge for $7.00 per pound. The total number of pounds sold on saturday was 146 and the total amount of money collected was $1065. how many pounds of each type of fudge were sold?
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Lbs of chocolate fudge—x:
$7.50x + $7.00(146 - x) = $1,065.00 multiply each side by 2
15x + 14(146 - x) = 2,130
15x + 2,044 - 14x = 2,130
x = 86
Lbs of peanut butter fudge:
= 146 - 86
= 60
Answer: chocolate fudge, 86 lbs; peanut butter fudge, 60 lbs
Check:
= $7.50(86) + $7.00(60)
= $645.00 + $420.00
= $1,065.00
$7.50x + $7.00(146 - x) = $1,065.00 multiply each side by 2
15x + 14(146 - x) = 2,130
15x + 2,044 - 14x = 2,130
x = 86
Lbs of peanut butter fudge:
= 146 - 86
= 60
Answer: chocolate fudge, 86 lbs; peanut butter fudge, 60 lbs
Check:
= $7.50(86) + $7.00(60)
= $645.00 + $420.00
= $1,065.00