Question

Please help with this simultaneous equation you can use any method(Only number 6)

Answer 1

Answer:

Pencil: $0.60 Rubber: $0.48

Step-by-step explanation:

Let the cost of a pencil be p and the cost of a rubber be r.

$p+r=1.08$  (Equation 1)

$4p=5r$  (Equation 2)

Divide both sides by 4:

$p=\frac{5}{4} r$

Substitute this into Equation 1:

$\frac{5}{4} r+r=1.08$

Multiply both sides by 4:

$\frac{5}{4}r* \:4+r* \:4=1.08*4$

$5r+4r=4.32$

$9r=4.32$

Divide both sides by 9:

$\frac{9r}{9}=\frac{4.32}{9}$

$r=0.48$

Since r + p = 1.08,

$p=1.08=0.48=0.60$