Question

A bow and arrow cost £28. The bow

costs £25 more than the arrow.
Make two equations and solve them to
find the cost of a bow and arrow.
Use b for the cost of a bow and a for
the cost of an arrow.
Equation 1 total cost
Equation 2 difference
[4]
A bow costs £
An arrow costs £
[4]
Mark it

Answer 1

equation 1. 28 = b + a

equation 2. 28 - 25 = 3

bow costs 25

arrow costs 3

Answer 2

If the bow costs £25 more than the arrow. A bow costs £26.5 and an arrow costs £1.5.

What is the cost?

To determine the cost of a bow and an arrow set up two equations:

Equation 1:

The total cost of the bow and arrow is £28.

b + a = 28

Equation 2:

The bow costs £25 more than the arrow.

b = a + 25

Substitute the value of b from Equation 2 into Equation 1:

(a + 25) + a = 28

2a + 25 = 28

Isolate the variable by subtracting 25 from both sides of the equation:

2a = 28 - 25

2a = 3

Divide both sides of the equation by 2 to solve for a:

a = 3 / 2

a = 1.5

So the cost of an arrow is £1.5.

To find the cost of a bow substitute the value of a into Equation 2:

b = 1.5 + 25

b = 26.5

So, the cost of a bow is £26.5.

Therefore a bow costs £26.5 and an arrow costs £1.5.