SOLUTION:
The Bath Shop is running a special: "Make bath time better for 30 bucks!" Some of the combinations you can buy for $30 are below. How much does one bubble bath cost?
1 lav
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The Bath Shop is running a special: "Make bath time better for 30 bucks!" Some of the combinations you can buy for $30 are below. How much does one bubble bath cost?
1 lav
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Question 196392:
The Bath Shop is running a special: "Make bath time better for 30 bucks!" Some of the combinations you can buy for $30 are below. How much does one bubble bath cost?
You can put this solution on YOUR website! The Bath Shop is running a special: "Make bath time better for 30 bucks!" Some of the combinations you can buy for $30 are below. How much does one bubble bath cost?
Let x = cost of lav soaps
Let y = cost of candles
Let z = cost of bub baths
:
1 lavender soap, 4 scented candles, 1 bubble bath
x + 4y + z = 30
:
5 lavender soaps, 4 scented candles
5x + 4y = 30
:
3 bubble baths, 3 lavender soaps
3x + 3z = 30
Simplify; divide by 3
x + z = 10
x = (10-z)
:
Subtract the the 1st from the 2nd equation
5x+ 4y + 0z= 30
x + 4y + z = 30
------------------
4x + 0y -z = 0
:
Substitute (10-z) for x in the above equation
4(10-z) - z = 0
40 - 4z - z - 0
-5z = -40
z =
z = $8 is the cost of a bub bath
:
:
we need to find x & y to check our solution
x = 10 - 8
x = 2
:
Find y:
5(2) + 4y = 40
10 + 4y = 30
4y = 30 -10
4y = 20
y = 5
;
Check solution in the 1st equation
x + 4y + z = 30
2 + 4(5) = 8 = 30
