A person spent ₹564 in buting pens and pencils if cost of each pen is ₹7and each pencil is ₹3 and if the total number of things bought was 108 how many of each type did he buy
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Answer:
The person bought 60 pens and 48 pencils.
Step-by-step explanation:
Let the number of pens be 'x' and number of pencils be 'y'. Then,
7x + 3y = 564 ...(i)
x + y = 108 ...(ii)
Multiply 3 to equation (ii),
3x + 3y = 324 ...(iii)
Subtract (iii) from (i),
7x - 3x + 3y - 3y = 564 - 324
4x + 0 = 240
x = 240 / 4
x = 60
Using x = 60 in (ii)
60 + y = 108
y = 108 - 60
y = 48
∴ The person bought 60 pens and 48 pencils.
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