SOLUTION: A store is having a sale on chocolate chips and walnuts. For 5 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $23. For 2 pounds of chocolate chips and 12 poun
Question 1116362: A store is having a sale on chocolate chips and walnuts. For 5 pounds of chocolate chips and 3 pounds of walnuts, the total cost is $23. For 2 pounds of chocolate chips and 12 pounds of walnuts, the total cost is
$47.Find the cost for each pound of chocolate chips and each pound of walnuts.
5c + 3w = 23 (1)
2c + 12w = 47 (2)
Solve by Elimination. For it, multiply eq(1) by 4 (both sides). Keep eq(2) as is:
20c + 12w = 92 (1')
2c + 12w = 47 (2')
Subtract eq(2') from eq(1'). The terms "12w" will cancel each other, leaving you single equation for only one unknown "c".
It is how the Elimination method works.
20c - 2c = 92 - 47 = 45 ====> c = = 2.50.
Now from eq(2) 2*2.50 + 12w = 47 ====> 12w = 47 - 2*2.50 = 42 ====> w = = 3.50.
Answer. cost for each pound of chocolate chips is $2.50 and of each pound of walnuts $3.50.
Solved.
On the way, you learned on how the Elimination method works.
