Each bush costs $18.49
Step-by-step explanation:
Mrs. Kelly creates a garden
- She buys 15 flowers and 3 bushes for a total cost of $160.32
- Each bush costs $11.50 more than each flower
We need to find how much each bush costs
Assume that the cost of each flower is $x and the cost of each
bush is $y
∵ She by 15 flowers and 3 bushes for a total cost $160.32
∵ The cost of each flower is $x
∵ The cost of each bush is $y
∴ 15x + 3y = 160.32 ⇒ (1)
∵ Each bush costs $11.50 more than each flower
- That mean equate y by x plus 11.50
∴ y = x + 11.50 ⇒ (2)
Now we have system of equations to solve it
Substitute y in equation (1) by equation (2)
∵ 15x + 3(x + 11.50) = 160.32
- Simplify the left hand side
∴ 15x + 3x + 34.5 = 160.32
- Add like terms in the left hand side
∴ 18x + 34.5 = 160.32
- Subtract 34.5 from both sides
∴ 18x = 125.82
- Divide both sides by 18
∴ x = 6.99
Substitute the value of x in equation (2) to find y
∵ y = 6.99 + 11.5
∴ y = 18.49
Each bush costs $18.49
Learn more:
You can learn more about the system of equations in brainly.com/question/2115716
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