Question

A belt and a wallet cost $42 while 7 belts and 4 wallets cost $213. Find the cost of a belt and a wallet

Answer 1

Answer:

cost of one belt = $15 and cost of one wallet = $27

Step-by-step explanation:

let cost of one belt be x

let cost of one wallet be y

so x + y = 42                  .................Equation 1

multiplying equation 1 by 4:

4x + 4y = 168         .......equation 2        

cost of 7 belts = 7x

cost of 4 wallets  = 4y

so 7x + 4y = 213                  ..............equation 3

subtracting equation 3 - equation 2

( 7x + 4y = 213 ) - ( 4x + 4y = 168 )

=> 3x = 45

so x = 45/3 = 15

applying x = 15 in equation 1:

x + y = 42

=> 15 + y = 42

=> y = 42 - 15 = 27

so cost of one belt = $15 and cost of one wallet = $27