Question #1
The price of 7 citrons and 10 fragrant wood apples is 88 units. The price of 10 citrons and 7 fragrant wood apples is 82 units. Find the price of a citron and the price of a wood apple.
I used 17x=170??????
Question #2
$6300 is invested, part of it at 12% and part of it at 9%. For a certain year, the total yield is $660.00. How much was invested at each rate?
Problem: $6300 is invested, part of it at 12% and part of it at 9%. For a certain year, the total yield is $660.00. How much was invested at each year?
The price of 55 citrons and 77 fragrant wood apples is 7373 units. The price of 77 citrons and 55 fragrant wood apples is 5959 units. Find the price of a citron and the price of a wood apple
To solve question #1, we can set up a system of equations based on the given information. Let's denote the price of a citron as "c" and the price of a fragrant wood apple as "f".
From the first sentence, we have the equation: 7c + 10f = 88
From the second sentence, we have the equation: 10c + 7f = 82
To find the prices of a citron and a wood apple, we can solve this system of equations using any method of solving simultaneous equations.
One method is substitution. We can solve one equation for one variable, and then substitute that value into the other equation.
Let's solve the first equation for c:
7c + 10f = 88
7c = 88 - 10f
c = (88 - 10f) / 7
Now we substitute this expression for c into the second equation:
10[(88 - 10f) / 7] + 7f = 82
We can simplify this equation by multiplying through by 7 to get rid of the fraction:
10(88 - 10f) + 49f = 574
Next, distribute the 10:
880 - 100f + 49f = 574
Combine like terms:
880 - 51f = 574
Subtract 880 from both sides:
-51f = -306
Divide by -51 to solve for f:
f = 6
Now substitute this value for f into the first equation:
7c + 10(6) = 88
7c + 60 = 88
7c = 88 - 60
7c = 28
c = 4
Therefore, the price of a citron is 4 units and the price of a fragrant wood apple is 6 units.
#1
x=price of citrons
y=price of fragrant
7x+10y=88
10x+7y=82
70x+100y=880
-
70x+49y=574
51y=306
y=6
x=4