SOLUTION: Find the number of Calories in an orange and in a peach. 1. An orange has 30 Calories more than a peach. 2. Thirteen peaches have as many Calories as 7 oranges.

Algebra ->  Algebra  -> Equations -> SOLUTION: Find the number of Calories in an orange and in a peach. 1. An orange has 30 Calories more than a peach. 2. Thirteen peaches have as many Calories as 7 oranges.      Log On

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Question 107603: Find the number of Calories in an orange and in a peach.
1. An orange has 30 Calories more than a peach.
2. Thirteen peaches have as many Calories as 7 oranges.
Answer by solver91311(16897) About Me  (Show Source):
You can put this solution on YOUR website!
Let's use o for the number of calories in an orange, and p for the number of calories in a peach.

We are given that o=p%2B30 and 13p+=+7o

Eq 1) o-p-30=0
Eq 2) 7o+-+13p=0

Multiply Eq 1) by -7

Eq 3) -7o%2B7p%2B210=0

Now add Eq 2) and Eq 3) term by term to eliminate the o term.

-6p%2B210=0
6p=210
p=35
o=35%2B30=65

Check:

13%2A35=455
7%2A65=455