Respuesta :
The cost of one rubber is £1 and one ruler is £0.5 given that Caroline buys 1 rubber and 5 rulers for £3.5 and Raphi buys 2 rubbers and 2 rulers for £3. This can be obtained by forming algebraic equation and solving them.
What is the cost of one rubber and one ruler?
Here in the question it is given that,
- Caroline buys 1 rubber and 5 rulers for £3.5
- Raphi buys 2 rubbers and 2 rulers for £3
We have to find the cost of one rubber and one ruler.
From the given statements we can form algebraic equations.
Let the cost of one rubber be x and the cost of one ruler be y.
Caroline buys 1 rubber and 5 rulers for £3.5,
⇒ x + 5y = 3.5
Raphi buys 2 rubbers and 2 rulers for £3.
⇒ 2x + 2y = 3
By solving the equations we get the cost of one rubber and one ruler
x + 5y = 3.5 ⇒ x = 3.5 - 5y
Substitute in second equation,
2x + 2y = 3
⇒ 2(3.5 - 5y) + 2y = 3
⇒ 7 - 10y + 2y = 3
⇒ 8y = 4
⇒ y = 0.5
Put the value of y,
x = 3.5 - 5(0.5)
⇒ x = 3.5 - 2.5
⇒ x = 1
Hence the cost of one rubber is £1 and one ruler is £0.5 given that Caroline buys 1 rubber and 5 rulers for £3.5 and Raphi buys 2 rubbers and 2 rulers for £3.
Learn more about algebraic equations here:
brainly.com/question/953809
#SPJ9
