SOLUTION: this is the last question for my homework and i need help please....Bob ate 10 carrots and 7 Hershey's kisses and the total calories were 263. Fred ate 4 carrots and 8 Hershey's ki

Question 190684: this is the last question for my homework and i need help please....Bob ate 10 carrots and 7 Hershey's kisses and the total calories were 263. Fred ate 4 carrots and 8 Hershey's kisses and the total calories were 230. how many calories are in a carrot and a hershey's kiss?(the answer is not a scientific truth,only made up numbers!!!) thanks
Answer by nerdybill(7384) (Show Source): You can put this solution on YOUR website!
this is the last question for my homework and i need help please....Bob ate 10 carrots and 7 Hershey's kisses and the total calories were 263. Fred ate 4 carrots and 8 Hershey's kisses and the total calories were 230. how many calories are in a carrot and a hershey's kiss?(the answer is not a scientific truth,only made up numbers!!!) thanks
.
Let c = carrot calories
and k = kiss calories
.
From: "Bob ate 10 carrots and 7 Hershey's kisses and the total calories were 263." we get equation 1:
10c + 7k = 263
.
From: "Fred ate 4 carrots and 8 Hershey's kisses and the total calories were 230." we get equation 2:
4c + 8k = 230
.
Solve equation 2 for 'c':
4c + 8k = 230
4c = 230 - 8k
c = 57.5 - 2k
.
Substitute the above into equation 1 and solve for k:
10c + 7k = 263
10(57.5 - 2k) + 7k = 263
575 - 20k + 7k = 263
575 - 27k = 263
-27k = -312
k = 11.56 calories
.
Substitute the above into equation 2 and solve for c:
4c + 8k = 230
4c + 8(11.56) = 230
4c + 92.48 = 230
4c = 137.52
c = 34.38 calories

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