Question

The class IX students of a certain public school wanted to give a farewell party to the
outgoing students of class X They decided to purchase two kinds of sweets, one costing
₹70/kg and the other costing ₹84/kg. They estimated that ₹36 kg of sweets were needed. If
the total money spent on sweets was ₹2800, find how much sweets of each kind they
purchased.

Please reply fastt
!!!

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 34 kg

i.e., x+y=34 … (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.