Assume E represents the cost of an egg and T represents the cost of one piece of toast.
We can construct two equations :
2E + T = $3.00 - - - - - (a)
E + T = $1.80 - - - - - (b)
Subtract equation b from a:
E = $1.20 (The price of one egg)
To find out the price of one piece of toast, replace the price of one egg in equation b:
T = $1.80 - $1.20 = $0.60 (The price of one piece of toast)
Hope that helps you
Answer:
the principal and the amount is 1,800 and 13,800 respectively
Step-by-step explanation:
The computation of the simple interest and amount for the end of the 3rd year is shown below:
Simple interest is
= Principal × rate of interest × time period
= 12,000 × 5% × 3 years
= 1,800
Now the amount is
= 12,000 + 1,800
= 13,800
hence, the principal and the amount is 1,800 and 13,800 respectively
Make 2 equations from the question first
x is the number of pints for type 1
y is the number of pints for type 2
The equation
x + y = 120
60% x + 85% y = 65% (x + y)
Solve the equation
From the 2nd equation
0.6x + 0.85y = 0.65(x + y)
0.6x + 0.85y = 0.65x + 0.65y
0.85y - 0.65y = 0.65x - 0.6x
0.2y = 0.05x
y = 4x
From the 1st equation
x + y = 120
x + 4x = 120
5x = 120
x = 24
y = 4x
y = 96
The first type should be 24 pints, the second type should be 96 pints
You would have two six-inch slices of bread
4x + 3y = 9
4x - 4x + 3y = -4x + 9
3y = -4x + 9
3 3
y = -1¹/₃x + 3
