Lily bought 6 skirts and 5 coats for a total of $452.62. If Lily sister bought 3 skirts and 5 coats for $289.36, what was the price of the coat?
Answers
Answer:
Step-by-step explanation:
First find 1/A
1/a= rationalizing of factor root under 2+1= root under 2-1
Now find value of a-1/a=(root under 2+1)+(root under 2-1)×-1
=root under 2+1×-root under 2+1
=root under 2 and - root under 2 cancel
Now remain 1+1=2 ans
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The price of each coat is $ 25.22
Solution:
Let the price of each skirt be "a"
Let the price of each coat be "b"
Lily bought 6 skirts and 5 coats for a total of $452.62
6a + 5b = 452.62 ------- eqn 1
Lily sister bought 3 skirts and 5 coats for $289.36
3a + 5b = 289.36 -------- eqn 2
Subtract eqn 2 from eqn 1
6a + 5b = 452.62
3a + 5b = 289.36
( - ) ----------------
3a = 163.26
a = 54.42
Substitute a = 54.42 in eqn 1
6(54.42) + 5b = 452.62
326.52 + 5b = 452.62
5b = 126.1
b = 25.22
Thus price of each coat is $ 25.22
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