Answer: 65 pounds of Peaches were sold.
Step-by-step explanation:
Let the number of pounds of Peaches sold = X pounds
Therefore the pound of apple sold = (165 - X ) pounds
Total pounds of apple and peaches sold = 165 pounds
Sale made on Peaches at the cost of $2,50 per Peache = $2.50X
sale made on apple sold at the cost of $1.75 per apple = $1.75(165 - x )
Total sale made on the sale of both Peaches and apple = $337.50
Therefore , open the bracket, add everything together and equate to the total sale made which is $337.50
we now have
2.50x + 1.75( 165 - x ) = 337.50
2.50x + 1.75 x 165 - 1.75x = 337.50
2.50x + 288.75 - 1.75x = 337.50
collect like terms
2.50x - 1.75x = 337.50 - 288.75
0.75x = 48.75
divide through by the coefficient of x which is 0.75
x = 48.75/0.75
= 65pounds .
Therefore, Mo's farm sold 65 pounds of Peaches.
Check ;
65 x 2.50 = $162.5
subtract 65 from 165 to get the pound of the appel
165 - 65 = 100 pounds of apple was sold.
now multiply 100 x 1.75
= $175
Now add the two together to give the total sale ,
$162.5 + $175 = $337.50.
