6 plates

6 plates and 5 cups cost 37.50 dollars. 7 plates and 6 cups 44.10 dollars. Each plate costs the same amount as the other cup. What is the cost of 1 plate? What is the cost of 1 cup?

Correct answer:

c =  2.1
p =  4.5

Step-by-step explanation:

6p+5c=37.50
7p+6c=44.10

6•p+5•c=37.50
7•p+6•c=44.10

5c+6p = 37.5
6c+7p = 44.1

c = 21/10 = 2.1
p = 9/2 = 4.5

Our linear equations calculator calculates it.

Try another example

Related math problems and questions:

• Cups
  We have three cups. In the cups we had fluid and boredom we started to shed. 1 We shed one-third of the fluid from the second glass into the first and third. 2 Then we shed one quarter cup of liquid from the first to the second and to the third. 3 Then we
• Tea blend
  Tea blends are maked from two kinds of tea. In standard tea mixture are two teas in the ratio 1:3 and 40 g costs 42 CZK. In the premium tea mixture are weighing two teas in the ratio 1:1 and 50 grams costs 60 CZK. How much cost 10 grams of more expensive
• Dollars
  Mama split 760 dollars Jane, Dane and Eva as follows: Jane got three times more than Dane and Dane and got 40 more than Eva. How much does get each of them?
• Money duo
  Julius and Mark have together 45 euros. Mark has 50% more money than Julius. Determine the amount of money that have Mark and Julius.
• Alice
  Alice spent 5/11 of her money on a back pack. She has $42 dollars left. How much was her back pack?
• Merchant
  The merchant lower cost by 10% in December when it was not sold. Again in January lower cost by 20% and now costs 576 €. A. How much the goods stood originally? B, how much cost the goods after the first lowering? C, How many percents totally merchant low
• Unknown amount of money
  Damian and Denis split an unknown amount in the ratio of 5:4. Damian got six euros more than Denis. Calculate an unknown amount. Determine how much money got Damian and how Denis.
• Nine books
  Nine books are to be bought by a student. Art books cost $6.00 each and biology books cost $6.50 each . If the total amount spent was $56.00, how many of each book was bought?
• Coffee
  Coffee from the machine in the cup cost 28 cents. Coffee is 20 cents more expensive than the cup. How much is the cup?
• The percent 2
  The percent return rate of a growth fund, income fund, and money market are 10%, 7%, and 5% respectively. Suppose you have 3200 to invest and you want to put twice as much in the growth fund as in the money market to maximize your return. How should you i
• Two pen
  Two pens and one notebook costs $56. One pen costs 1/5 of one notebook. How much is the one notebook?
• Two markers
  Two markers and one eraser cost 35 pesos and three markers and four erasers cost 65 pesos. Find the cost of a marker and an eraser.
• Car repair
  John bought a car for a certain sum of money. He spent 10% of the cost to repairs and sold the car for a profit of Rs. 11000. How much did he spend on repairs if he made a profit of 20%?
• Bike cost
  The father gave his son € 100 to buy a bicycle, which was 40% of the total amount of the bicycle. How much did the bike cost?
• T-shirts and hat
  5 t-shirts and a hat cost £62.00 2 t-shirts and a hat cost £29.00 How much does a t-shirt cost ? How much does a hat cost ?
• Dividing money
  Imrich, Daniel and Dezider shared an unknown amount in the ratio 1:2:4, where Dezider received 750 euros more than Imrich and Daniel got half as much as Dezider. Determine an unknown amount of money and determine the amounth that got Imrich, Daniel and De
• Price saleoff
  Shoes standing y euros. At first, they were discounted by 12% and then 50% of the new amount. After this double cheapening the cost was exactly 22 euros. Determine the original price of the shoes.