Question #481b4

1 Answer
Feb 2, 2018

One piece of toast costs $0.4 and one egg costs $ 1.25.

Explanation:

Let cost of egg be E and that of toast be T

Jimmy buys 1 egg and 1 piece of toast for $1.65 can be expressed as:

1E +1T = $1.65--------------equation (1)

Bob buys 2 eggs and 1 piece of toast for $2.90 can be expressed as :

2E + 1T = $2.90 -------------- equation (2)

Eliminate any one variable, say T,

(2)-(1) gives:

=> 2E -1E +1T-1T = $2.90 - $1.65#

=> 1E = $1.25------------(3)

To get T, substitute this value of cost of 1 egg in any one equation, say equation (1):

=> 1 xx $1.25 +1T = $1.65

=> 1T = 1.65 - 1.25 = $0.4-------------(4)

From (3) and (4),

One piece of toast costs $0.4 and one egg costs $ 1.25.