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 contains 7.5kg of the raisins, how many kilograms of almonds were mixed?
well, just add up the costs:
125(7.5) + 300x = 1400(7.5+x)
These must be special gold nuts, at those prices!!!
To find out how many kilograms of almonds were mixed, we need to use a system of equations.
Let's assume that the weight of almonds in the mixture is "x" kilograms.
From the given information, we know that:
1 kilogram of almonds costs $300, so "x" kilograms of almonds will cost 300x dollars.
Also, 7.5 kilograms of raisins cost $125, so 7.5 kilograms of raisins will cost 125 * 7.5 = $937.5.
The total cost of the mixture is $1,400.
Now we can set up the equation:
300x + 937.5 = 1400
Simplifying the equation:
300x = 1400 - 937.5
300x = 462.5
Dividing both sides by 300:
x = 462.5 / 300
x = 1.54
Therefore, 1.54 kilograms of almonds were mixed with 7.5 kilograms of raisins.