Question

There are 3 orchards, a, b and c. Orchard a has 60 fewer trees than orchard b orchard c has 3 times as many trees as orchard b. If the three orchards have 430 trees altogether, how many trees does orchard c have?

209

likes
1044 views

Answer to a math question There are 3 orchards, a, b and c. Orchard a has 60 fewer trees than orchard b orchard c has 3 times as many trees as orchard b. If the three orchards have 430 trees altogether, how many trees does orchard c have?

Expert avatar
Andrea
4.5
81 Answers
STEP BY STEP SOLUTION: Let's denote the number of trees in orchard b as B. According to the information given: 1. Orchard a has 60 fewer trees than orchard b, so the number of trees in orchard a is \(B - 60\) . 2. Orchard c has 3 times as many trees as orchard b, so the number of trees in orchard c is \(3B\) . The total number of trees in the three orchards is 430: \[ (B - 60) + B + 3B = 430 \] Combine like terms: \[ 5B - 60 = 430 \] Add 60 to both sides: \[ 5B = 490 \] Divide by 5: \[ B = 98 \] Now that we know the number of trees in orchard b (\(B = 98\)) , we can find the number of trees in orchard c: \[ \text{Orchard c} = 3B = 3 \times 98 = 294 \] ANSWER: So, orchard c has 294 trees.

Frequently asked questions (FAQs)
Question: What is the value of f(x) = 3x^2 - 2x + 5 when x = 4?
+
What is the rule for congruence of triangles that states if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, the triangles are congruent?
+
What is the period and range of the tangent function, f(x) = tan(x)?
+
New questions in Mathematics
calculate the derivative by the limit definition: f(x) = 6x^3 + 2
Solution of the equation y'' - y' -6y = 0
find the value of the tangent if it is known that the cos@= 1 2 and the sine is negative. must perform procedures.
-8+3/5
The random variable Y is defined as the sum between two different integers selected at random between -4 and 2 (both included). What are the possible values of the random variable Y? What is the value of P(Y=-3)? And whether it is less than or equal to -5?
A drawer contains three pairs of white socks, five pairs of black socks and two pairs of red socks. Caden randomly selects two pairs of socks on his way to the gym. What is the probability that both pairs of socks are black?
A juice shop prepares assorted juices, for their juices they have 5 different types of fruit. How many types of assortments can be prepared in total, if it is considered an assortment to a juice made with two or more fruits?
Find the root of x^4-10x^ 5=0 using Newton's method, with a precision of the smallest positive root.
The function g:Q→Q is a ring homomorphism such that g(3)=3 and g(5)=5. What are the values of g(8) and g(9)?
Find the equation of the line perpendicular to −5𝑥−3𝑦+5=0 passing through the point (0,−2)
Substitute a=2 and b=-3 and c=-4 to evaluate 2ac/(-2b^2-a)
form a key for your lock containing the numbers 2 2 5 8 How many different keys can you form?
Calculate the boiling temperature and freezing temperature at 1 atmosphere pressure of a solution formed by dissolving 123 grams of ferrous oxide in 1.890 grams of HCl.
How many square feet of floor area are there in three two-storey apartment houses, each of which is 38 feet wide and 76 feet long?
How to do 15 x 3304
At the dance there are 150 boys the rest are girls. If 65% are girls what is the total amount in the room
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
In poker, a full house consists of five cards, where two of the cards have the same number (or letter) and the remaining three also have the same number (or letter) as each other (but not as the previous two cards). Use a search engine or Wikipedia to understand the concept better if necessary. In how many different ways can one obtain a full house?
7-1=6 6x2=12 Explain that
A grain silo has a height of 8.8m with a 11.4m diameter. If it is filled 0.5% of it's volume, how much grain (m^3) is stored in the silo? (0 decimal places)