Question

Phoebe bought a pencil and a ruler. She paid £1.45.loeh bought a ruler and two pencils.she paid£1.80. How much does the ruler cost?

Answer 1

By setting up simultaneous equations based on the purchases of Phoebe and Ioeh and solving them, we find that the cost of the ruler is £1.10.

Step-by-step explanation:

To determine the cost of the ruler, we need to set up two equations based on the given information about Phoebe and Ioeh's purchases and use the method of simultaneous equations.

Let's assume 'R' represents the cost of the ruler and 'P' represents the cost of one pencil.

According to the question:

• Phoebe bought 1 ruler and 1 pencil, and she paid £1.45. So we get the equation: R + P = £1.45.
• Ioeh bought 1 ruler and 2 pencils, and she paid £1.80. So we get the equation: R + 2P = £1.80.

To find the cost of the ruler, we can solve these equations simultaneously. Subtract the first equation from the second to eliminate R and find P:

1. R + 2P = £1.80
2. R + P = £1.45

Subtract equation 2 from equation 1:

2P - P = £1.80 - £1.45
P = £0.35

Now that we know one pencil costs £0.35, we can substitute P back into either equation to find R. Let's use the first equation:

R + P = £1.45
R + £0.35 = £1.45
R = £1.45 - £0.35
R = £1.10

Thus, the ruler costs £1.10.

Answer 2

$ 1.10

Step-by-step explanation:

p + r = 1.45....p = 1.45 - r

2p + r = 1.80

2(1.45 - r) + r = 1.80

2.90 - 2r + r = 1.80

-2r + r = 1.80 - 2.90

-r = - 1.10

r = 1.10 <=== a ruler costs $ 1.10

p + r = 1.45

p + 1.10 = 1.45

p = 1.45 - 1.10

p = 0.35 .......a pencil will cost $ 0.35