Question

a carpenter purchase 60 feet of redwood and 80 feet of pine for a total cost of $324 a second purchase at the same price including 90 feet of redwood and 50 feet of pine for a total cost of $381 Find the cost per foot of the redwood in of the pine

228

likes
1139 views

Answer to a math question a carpenter purchase 60 feet of redwood and 80 feet of pine for a total cost of $324 a second purchase at the same price including 90 feet of redwood and 50 feet of pine for a total cost of $381 Find the cost per foot of the redwood in of the pine

Expert avatar
Jett
4.7
97 Answers
1. Let the cost per foot of redwood be r .
2. Let the cost per foot of pine be p .
3. Set up the equations based on the given purchases:
60r + 80p = 324 \quad \text{(1)}
90r + 50p = 381 \quad \text{(2)}
4. Multiply equation (1) by 3 and equation (2) by 2 to make the coefficients of r the same:
180r + 240p = 972 \quad \text{(3)}
180r + 100p = 762 \quad \text{(4)}
5. Subtract equation (4) from equation (3):
(180r + 240p) - (180r + 100p) = 972 - 762
140p = 210
6. Solve for p :
p = \frac{210}{140}
p = 1.50
7. Substitute p = 1.50 into equation (1):
60r + 80(1.50) = 324
60r + 120 = 324
60r = 204
r = \frac{204}{60}
r = 3.40
8. Thus, the cost per foot of redwood is \$3.40 and the cost per foot of pine is \$1.50 .

Answer:
\text{Cost of redwood per foot: } \$3.40 \\\text{Cost of pine per foot: } \$1.50

Frequently asked questions (FAQs)
What is the value of sin(2Ο€) + cos(Ο€/4)?
+
Math question: Determine the value of x such that f(x) = 1/x equals its reciprocal, f(1/x), using the function f(x) = 1/x.
+
Question: What is the standard deviation of a data set with values 10, 15, 17, 20, 25?
+
New questions in Mathematics
Calculate to represent the function whose graph is a line that passes through the points (1,2) and (βˆ’3,4). What is your slope?
A=m/2-t isolate t
(x^2+3x)/(x^2-9)=
Determine all solutions to the inequality |2x + 6| βˆ’ |x + 1| < 6. Write your final answer in interval notation
³√12 x ⁢√96
two pails of different sizes contain 34.5 litres of water altogether When 0.68 litre of water is poured from the bigger pail into the smaller pail the amount of water in the bigger pail is 9 times that in the smaller pail. How much water was in the smaller pail at first?
solve the following trigo equation for 0Β°<= x <= 360Β°. sec x =-2
4X^2 25
We have spent 1/4 of the inheritance on taxes and 3/5 of the rest on buying a house. If the inheritance was a total of €150,000 How much money do we have left?
The price per night of a suite at the Baglioni Hotel in Venice is 1896 euros, VAT included. The VAT in Italy is 25%. The hotel gets a return of 10% out of the price VAT included. a) What is the amount of VAT paid by the hotel for one
DuocUC 2) The cost C, in pesos, for the production of x meters of a certain fabric can be calculated through the function: (x+185) C(x)=81300-6x+ 20000 a) It is known that C(90) 5.344. Interpret this result. (2 points) b) Calculate C'(x) (2 points) 3 xΒ²+111x-0.87 20000 2000 c) Function C calculates the cost while producing a maximum of 500 meters of fabric. Determine the values of x at which the cost of production is increasing and the values of x at which the cost is decreasing. (3 points) d) If a maximum of 500 meters of fabric are produced, what is the minimum production cost? (
List the remaining zeros of the polynomial with the given zeros Zeros are: 2, 3i, and 3 + i
9/14 x 7/27 carry out indicated operation
A house located within the city limits has a current market value of $325,000 according to a recent appraisal. The assessed value from the last county wide tax valuation is $272,475. The tax rate is $0.36 per hundred for the county and $0.72 per hundred for the city. What is the total annual property tax liability on the property? $2340 $3510 $1962 $2943
Calculate the area of the parallelogram with adjacent vertices (1,4, βˆ’2), (βˆ’3,1,6) 𝑦 (1, βˆ’2,3)
Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.
Perform operations with the polynomials P(x) = x3 and Q(x) = 2x2 + x – 3x3 : a) P(x) - Q(x)
there are 500,000 bacteria at the end of a pin point. 1000 bacteria can make a person sick. then bacteria at the tip of a pin point can make 500 people sick. Also, many people do not know that bacteria can (reproduce). Let's say there are 5 bacteria and we leave it for 15 minutes. bacteria will multiply to 10. if left for up to 30 minutes, 20 bacteria will form. if left up to 45 minutes. bacteria will multiply up to 40. every 15 minutes the bacteria will double 2. if you start with five bacteria that reproduce every 15 minutes, how manu bacteria would you have after 12 hours ?
calculate the product of 4 and 1/8
f(x)= 9-x^2 find (f(x+h)-f(x) )/h