Question

23 spoon and 17 forks together cost is rs 1770, while 17 spoons and 23 forks together cost Rs 1830. Find the cost of a spoon and that of a fork.

Answer 1

let spoon be x and fork be y

23 spoon and 17 forks together cost rs 1770
so, 23x + 17y = 1770
23x = 1770 - 17y
x = (1770 - 17y)/23............(1)

17 spoon and 23 forks together cost rs 1830
so, 17x + 23y = 1830............(2)

substitute (1) in (2)
17((1770 - 17y)/23) + 23y = 1830
(30090 - 289y + 529y)/23 = 1830
30090 + 240y = 42090
240y = 42090 - 30090
240y = 12000
y = 12000/240
y = 50

substitute y in (1)
x = (1770 - 17×50)/23
x = (1770 - 850)/23
x = 920/23
x = 40

so, cost of spoon is x = 40 rupees and cost of fork is y = 50

#mark as brainliest

Answer 2

Refers to attachment ⚘⚘