SOLUTION: Boy and Girl sells mixtures of almonds and raisins. A kilogram of almonds and raisins cost $300 and $125, respectively. If the final cost of the mixture is $1,400 and the mixture c

Algebra ->  Linear-equations -> SOLUTION: Boy and Girl sells mixtures of almonds and raisins. A kilogram of almonds and raisins cost $300 and $125, respectively. If the final cost of the mixture is $1,400 and the mixture c      Log On


   

Question 997544: Boy and Girl sells mixtures of almonds and raisins. A kilogram of almonds and raisins cost $300 and $125, respectively. If the final cost of the mixture is $1,400 and the mixture contaion 7.5kg of the raisins, how many kilograms of almonds were mixed?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Learn from this lesson:
http://www.algebra.com/my/Two-Part-Mixture-with-one-material-quantity-unknown.lesson?content_action=show_dev

The cost per kilogram can be found or thought as %28moneyCost%29%2F%28massKilograms%29.

On the other hand, you could just account for the cost of the mixture.
Think, massRaisins%2ApriceRaisins%2BmassAlmonds%2ApriceAlmonds=costMixture.

y, the amount of the almonds (because you are given how much raisins).

%287.5%2A125%2B300%2Ay%29=1400

Yes, you can manage the solution focused on price, but looking at accounting for cost seems
more straightforward here. The price can be found, since you know mass of y+7.5 mixture
will cost $1400; but the question asks for a material quantity and expects a given mixture COST.



Solve highlight_green%287.5%2A125%2B300%2Ay=1400%29 for y.
.
300y=1400-7.5%2A125

y=%281400-7.5%2A125%29%2F300-----compute this.