Question

Ibrar buys 3kg of apples. He also buys 0.4kg of mushrooms. The total cost is £6.93. 1kg of apples cost £1.95. Work out the cost of 1kg of mushrooms

Answer 1

Answer:

1 kg of mushrooms costs £2.7.

Step-by-step explanation:

Step 1: Write equations.

Let a be the cost of apples per kg and m the cost of mushrooms per kg.

First equation: Ibrar buys 3 kg of apples. He also buys 0.4 kg of mushrooms. The total cost is £6.93.

$3a + 0.4m = 6.93$

Second equation: 1 kg of apples cost £1.95.

$a = 1.95$

Step 2: Solve the system of equations.

1) $3a + 0.4m = 6.93$

2) $a = 1.95$

Substitute a in the first equation with a from second.

$3a + 0.4m = 6.93\\3(1.95) + 0.4m = 6.93$

Solve for m.

$5.85 + 0.4m = 6.93\\0.4m = 6.93 - 5.85 \\0.4m = 1.08\\m = \frac{1.08}{0.4}\\m = \text{\£}2.7$