Question

A sweet packet contains ‘x’ number of sweets. Davidempties two such packets in a jar. Hegavesome of the sweetsto his friend. If the number of sweets left in the jar are ‘x−4’, then how manysweets did Davidgiveto his friend?

Answer 1

Answer:

Let

The quantity of sweet costing Rs 70 be x and,

The quantity of sweet costing Rs 84 be y

Given, total quantity of sweets purchased is 36 kg

i.e., x+y=36 … (i)

Also given, the total money spent is Rs 2800

i.e., 70x+84y=2800 … (ii)

Multiplying (i) by 70, we get

70x+70y=2520 ... (iii)

Subtacting (ii) from (iii), we get

−14y=−280

⇒y=

−14

−280

⇒y=20

On substituting the value of y in equation (i), we get

x+20=36

⇒x=36–20

⇒x=16

Therefore, the quantities of sweets purchased are 16 kg which costs Rs 70 per kg and 20 kg which costs Rs 84 per kg.