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a 500g packet of beans costs £1,14 and a 125g packet of the same beans costs £0,28 so packet is better value for money? show how you decide.

Sagot :

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To find :-

More valuable packet of beans

Given :-

500g packet of beans = £114

125g packet of beans = £28

Solution :-

We will find out value of 100g of beans of each packet, then we will compare the value, the less will be the value, the more valuable packet is it.

Packet 1

500g of beans = £114

100g of beans

[tex] = \frac{114}{500} \times 100 \\ = \frac{114}{5} \\ = 22.8[/tex]

The 100g beans of packet 1 will cost £22.8.

Packet 2

125 g of beans = £28

100g of beans

[tex] = \frac{28}{125} \times 100 \\ = \frac{28}{5} \times 4 \\ = 5.6 \times 4 \\ = 22.4[/tex]

The 100g beans of packet 2 will cost £22.4.

Result :-

The packet 2, 125g for £28 is more valuable than packet 1, 500g for £114.

Answer:

the 125 gm packet

Step-by-step explanation:

Find the unit rate of each

1.14 /500 g = .00228  per gram

.28/128 g  = .0021875 per gram   <=====this is the better value  (costs less per gram)