Question

a store sells homemade forks and spoons. the store sells homemade forks for $5.50 each and the homemade spoons for $3.50 each. last month the store sold a total of 61 homemade spoons and forks for $289.50. How many were homemade forks and how many where homemade spoons?

75

likes
375 views

Answer to a math question a store sells homemade forks and spoons. the store sells homemade forks for $5.50 each and the homemade spoons for $3.50 each. last month the store sold a total of 61 homemade spoons and forks for $289.50. How many were homemade forks and how many where homemade spoons?

Expert avatar
Cristian
4.7
117 Answers
Let's denote the number of homemade forks as x and the number of homemade spoons as y .

From the problem, we can create the following system of equations:

1. The total number of homemade forks and spoons is 61:
x + y = 61

2. The total cost of all forks and spoons is $289.50:
5.50x + 3.50y = 289.50

We can use the first equation to express x in terms of y :
x = 61 - y

Substitute this expression for x into the second equation:
5.50(61 - y) + 3.50y = 289.50

Now, solve for y :
335.50 - 5.50y + 3.50y = 289.50
-2y = -46
y = 23

Now that we have found the number of homemade spoons, we can find the number of homemade forks:
x = 61 - 23
x = 38

Therefore, there were 38 homemade forks and 23 homemade spoons sold.

Answer: There were 38 homemade forks and 23 homemade spoons sold.

Frequently asked questions (FAQs)
Math Question: Find the area enclosed by the graph of a parabola with equation y = x^2 - 4x + 3 within the interval x = 0 to x = 4.
+
Question: Graph the inequality y > 3x + 2 on the coordinate plane.
+
What is the value of f(x) when f(x) = c, where c represents any real number?
+
New questions in Mathematics
𝑦 = ( 𝑥2 − 3) (𝑥3 + 2 𝑥 + 1)
5(4x+3)=75
A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?
The derivative of a power is obtained just by subtracting 1 from the power True or false
You are planning to buy a car worth $20,000. Which of the two deals described below would you choose, both with a 48-month term? (NB: estimate the monthly payment of each offer). i) the dealer offers to take 10% off the price, then lend you the balance at an annual percentage rate (APR) of 9%, monthly compounding. ii) the dealer offers to lend you $20,000 (i.e., no discount) at an APR of 3%, monthly compounding.
Find the derivatives for y=X+1/X-1
There are four times as many roses as tulips in Claire’s garden. Claire picked half of the number of roses and 140 roses were left in the garden. How many roses and tulips were in the Garden the first?
Determine the general equation of the straight line that passes through the point P (2;-3) and is parallel to the straight line with the equation 5x – 2y 1 = 0:
Lim x → 0 (2x ^ 3 - 10x ^ 7) / 5 * x ^ 3 - 4x )=2
3+7
2x2
Let X be a discrete random variable such that E(X)=3 and V(X)=5. Let 𝑌 = 2𝑋^2 − 3𝑋. Determine E(Y).
Perform operations with the polynomials P(x) = x3 and Q(x) = 2x2 + x – 3x3 : a) P(x) - Q(x)
Below are three 95% CIs (where 𝜎 was known and 𝑥̅happened to be the same); one with sample size 30, one with samplesize 40, and one with sample size 50. Which is which?(66.2, 76.2)(61.2, 81.2)(56.2, 86.2)
25) Paulo saves R$250.00 per month and keeps the money in a safe in his own home. At the end of 12 months, deposit the total saved into the savings account. Consider that, each year, deposits are always carried out on the same day and month; the annual yield on the savings account is 7%; and, the yield total is obtained by the interest compounding process. So, the amount that Paulo will have in his savings account after 3 years, from the moment you started saving part of your money monthly, it will be A) R$6,644.70. B) R$ 9,210.00. C) R$ 9,644.70. D) R$ 10,319.83. E) R$ 13,319.83
How many digits are there in Hindu-Arabic form of numeral 26 × 1011
5a-3.(a-7)=-3
Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).
The length of a rectangle is five more than its width. if the perimeter is 120, find both the length and the width.
Find the number of liters of water needed to reduce 9 liters of lotion. shave containing 50% alcohol to a lotion containing 30% alcohol.