Answer:
1 pound of jellybeans costs $2.25
and 1 pound of almond costs $1.25
Step-by-step explanation:
Say jellybeans is j and almonds is a. The question can be interpreted as
2j + 6a = 12 ....................... equation 1
5j + 3a = 15 ....................... equation 2
Using elimination method for the above simultaneous equation, lets multiply equation 1 by the coefficient of j in equation 2 and vice versa
(2j + 6a = 12)*5 .......................... eqn 3
(5j + 3a = 15)*2 .......................... eqn 4
Then we will have
10j + 30a = 60 ........................... eqn 5
10j + 6a = 30 ........................... eqn 6
Subtract equation 6 from equation 5 to eliminate j, we will have
24a = 30
Divide both side by 24, we will have
a = 30/24
a = 1.25
Therefore 1 pound of almonds cost $1.25
To get the price of jellybeans, we substitute for a in any of the equations above
2j + 6a = 12
2j + 6(1.25) = 12
2j + 7.5 = 12 Collecting the like terms, we will have
2j = 12 - 7.5
2j = 4.5 Divide both sides by 2, we will have
j = 2.25
Therefore the cost of 1 pound jellybeans is $2.25
