Answer:
The answer to your question is below
Step-by-step explanation:
Data
Kelly bought 3 dozens of eggs and 5 loads of bread cost = $33
Fawn bought 2 dozens of eggs and 2 loads of bread cost = $18
Cost of each item = ?
Process
1.- Write one equation for Kelly and another for Fawn to solve this problem.
eggs = e
bread = b
3e + 5b = 33 Equation l
2e + 2b = 18 Equation ll
2.- Solve by elimination
- Multiply equation l by 2 and equation ll by -3
6e + 10b = 66
-6e - 6b =-54
Simplify 0 + 4b = 12
-Solve for b b = 12/4
b = 3
3.- Substitute b in equation ll to find e
2e + 2(3) = 18
2e + 6 = 18
2e = 18 - 6
2e = 12
e = 12/2
e = 6
4.- Conclusion
A dozen of eggs costs $6
A load of bread cost $3
Answer:
Eggs are 6 dollars a dozen and bread is 3 dollars a loaf.
Step-by-step explanation:
Let the price of a dozen eggs be e dollars and the price of the bread be b dollars.
So we have the system:
3e + 5b = 33
2e + 2b = 18
We use the method of elimination:
Multiply the first equation by 2 and the second by -5:
6e + 10b = 66
--10e - 10b = -90 Adding:-
-4e = -24
e = 6.
Substitute e = 6 in the first equation:
18 + 5b = 33
5b = 33 - 18
5b = 15
b = 3.
