julie buys 2kg of apples and 7kg of pears £12.70. the pears cost £1.30 per kilogram what is the price per kilogram of the apples? show your working out

Respuesta :

1.44 per kg

take 1.3 x 2, then subtract 12.7, finally divide that by 7

Answer:

£1.80 is the price per kilogram of the apples

Step-by-step explanation:

Here, x represents the number of apples per kilogram  and y represents the number of pears per kilogram.

As per the statement:

Julie buys 2kg of apples and 7kg of pears £12.70.

⇒[tex]2x+7y = 12.70[/tex]          ....[1]

It is also given that the pears cost £1.30 per kilogram

⇒y =£1.30

Substitute in [1] we have;

⇒[tex]2x+7 \cdot 1.30 = 12.70[/tex]  

⇒[tex]2x+9.10= 12.70[/tex]  

Subtract 9.10 from both sides we have;

⇒[tex]2x= 3.60[/tex]  

Divide both sides we have;

x =£1.80

Therefore, £1.80 is the price per kilogram of the apples