Brand A granola is 25% nuts and dried fruit and brand B granola is 20% nuts and dried fruit. How much of sweet item A and sweet item B should be mixed to form a 30 dash l b batch of sweets that is 24% nuts and dried fruit?

Question

Brand A granola is 25​% nuts and dried fruit and brand B granola is 20​% nuts and dried fruit. How much of sweet item A and sweet item B should be mixed to form a 30 dash l b batch of sweets that is 24​% nuts and dried​ fruit?

oobleck · Answer

why not just write 30-lb batch? If x is nuts, then the rest (30-x) is fruit. So add up the nuts and fruit: .25x + .20(30-x) = .24*30

Brand A granola is 25​% nuts and dried fruit and brand B granola is 20​% nuts and dried fruit. How much of sweet item A and sweet item B should be mixed to form a 30 dash l b batch of sweets that is 24​% nuts and dried​ fruit?

Brand A granola is 25% nuts and dried fruit and brand B granola is 20% nuts and dried fruit. How much of sweet item A and sweet item B should be mixed to form a 30 dash l b batch of sweets that is 24% nuts and dried fruit?