Answer:
the way to work these types of problems is to create a table. The table will have three rows and three columns.
The table:
Let x represent the kilograms of nuts, then 138 - x will represent the kilograms of bolts.
Product Amount Cost Total
--------------------------------------------------------
Nuts x .60 .60 * x
Bolts 138 - x .66 .66 * (138 - x)
Mix 138 .65 .65 * (138)
Step-by-step explanation:
The equation:
The nuts plus the bolts must equal the mix or:
.60 * x + .66 * (138 - x) = .65 * 138
I do not like to work with decimals, so multiply each term by 100:
60 * x + 66 * (138 - x) = 65 * 138
Remove the parenthesis and combine like terms:
-6x = -66 * 138 + 65 * 138
-6x = -138
Divide both sides by -6:
x = 23
Solution:
The mixture contains 23 kilograms of nuts.
The mixture contains 138 - 23, or 115 kilograms of bolts.
