# A farmer sells corn for $6.00/bu and soybeans for$15.00/bu. The entire 3150 bu sells for $22,950. How much of each is sold? Question Equations and inequalities asked 2021-03-07 A farmer sells corn for$6.00/bu and soybeans for $15.00/bu. The entire 3150 bu sells for$22,950. How much of each is sold?

2021-03-08
Let x be the number of bushels of corns and y be the number of bushels of soybeans.
There is a total of 3150 bushels:
x+y=3150
The total amount sold is $22950: 6x+15y = 22950 Solve for y using (1) to obtain (3): y=3150-x Substitute (3) to (2) and solve for x: $$\displaystyle{6}{x}+{15}{\left({3150}—{x}\right)}={22950}$$ 6x + 47250 — 15x = 22950ZSK $$\displaystyle—{9}{x}+{47250}={22950}$$ $$\displaystyle-{9}{x}=—{24300}$$ x=2700 Solve for y using (3): y = 3150-2700 y= 450 So. 2700 bushels of corn and 450 bushels of soybeans were sold. ### Relevant Questions asked 2021-02-08 At a recent production of A Comedy of Errors, the Community Theater brought in a total of$30,495 in revenue. If adult tickets were $9 and children's tickets were$6.50, how many tickets of each type were sold if 3800 tickets in all were sold?
An automobile saleswoman earns 12% on all of her sales. Last month she sold 3 cars for a total sales amount of $28,950. What is her commission? asked 2021-02-01 A coffee merchant sells three blends of coffee. A bag of houseblend contains 300 grams of Colombian beans, 50 grams of Kenyanbeans, and 150 grams of French roast beans. A bag of specialblend contains 200 grams of Colombian beans, 200 grams of Kenyanbeans, and 100 grams of French roast beans. A bag of Gourmet blend contains 100 grams of Colombian beans, 350 grams of Kenyanbeans and 50 grams of French roast beans. Merchant has on hand 30kg of Colombian beans, 15 kg of Kenyan beans and 15 kg of French roast beans. One bag of the house blend produces profit of$0.50 , onebag of the Special blend produces a profit of $1.50, and one bag ofthe gourmet blend produces a profit of$2.00. How many bags of eachtype should the merchant prepare if he wants to use up all of thebeans and maximize his profit? What is the maximum profit?
A 1966 Andy Warhol portrait of Marlon Brando on his motorcycle sold for $5 million at Christie's in 2003. On November 14, 2012, the work was sold again by Christie's for about 4 4/5 times the amount paid in 2003. How much was paid for the portrait in 2012? asked 2020-11-09 A store sells small notebooks for$8 and large notebooks for $10. If you buy 6 notebooks and spend$56, how many of each size notebook did you buy?
Eric sells movie tickets. Adult tickets cost $8 and children's tickets cost$5. He keeps 15% of his sales. Which expression represents how much he keeps?
$$\displaystyle{A}.{1.2}{a}+{0.75}{c}$$
$$\displaystyle{B}.{8}{a}+{5}{c}$$
$$\displaystyle{C}.{15}{\left({8}{a}+{5}{c}\right)}$$
$$\displaystyle{D}.{0.15}{\left({13}{a}{c}\right)}$$
Vince worked 18 hours last week. Part of the time he worked in a fast-food restaurant and part of the time he worked tutoring a high school student in mathematics. He was paid $7.25 per hour working in the restaurant and$15 per hour tutoring. If he earned $161.50, how many hours did he work at each job? asked 2021-03-07 He spent a total of$112 on 14 music purchases. one Music CDs were on sale for $10 and cassettes were on sale for$3. How much did Andrew pay for each music CD and each cassette tape?
A concert promoter produces two kinds of souvenir shirt, one kind sells for $18 ad the other for$25. The company determines, the total cost, in thousands of dollars, of producting x thousand of the $18 shirt and y thousand of the$25 shirt is given by
$$\displaystyle{C}{\left({x},{y}\right)}={4}{x}^{{2}}-{6}{x}{y}+{3}{y}^{{2}}+{20}{x}+{19}{y}-{12}.$$