Knowee
Questions
Features
Study Tools

A bag contains n nickels and q quarters worth a total of $40.Which equation models this information?n+q=405n+25q=400.5n+0.25q=400.05n+0.25q=40

Question

A bag contains n nickels and q quarters worth a total of $40.Which equation models this information?n+q=405n+25q=400.5n+0.25q=400.05n+0.25q=40

🧐 Not the exact question you are looking for?Go ask a question

Solution 1

Para resolver el problema, primero debemos entender el valor de cada moneda y cómo se relaciona con el total de dinero.

  1. Un níquel (nickel) vale $0.05.
  2. Un cuarto (quarter) vale $0.25.
  3. El total de dinero es $40.

Queremos encontrar una ecuación que modele esta información.

Primero, consideremos la cantidad total de dinero en términos de níqueles y cuartos:

  • Si hay n n níqueles, el valor total de los níqueles es 0.05n 0.05n dólares.
  • Si hay q q cuartos, el valor total de los cuartos es 0.25q 0.25q dólares.

La suma del valor de los níqueles y los cuartos debe ser igual a $40. Por lo tanto, la ecuación que representa esta situación es:

0.05n+0.25q=40 0.05n + 0.25q = 40

Ahora, revisemos las opciones dadas:

  1. n+q=40 n + q = 40
  2. 5n+25q=400 5n + 25q = 400
  3. 0.5n+0.25q=400 0.5n + 0.25q = 400
  4. 0.05n+0.25q=40 0.05n + 0.25q = 40

La opción correcta es la cuarta:

0.05n+0.25q=40 0.05n + 0.25q = 40

This problem has been solved

Solution 2

Para resolver el problema, primero debemos entender el valor de los nickels y los quarters en términos de dólares.

  1. Un nickel (n) vale $0.05.
  2. Un quarter (q) vale $0.25.

La suma total de dinero en la bolsa es $40. Por lo tanto, podemos escribir la ecuación que representa el valor total de los nickels y quarters en la bolsa.

La ecuación correcta que modela esta información es:

0.05n+0.25q=40 0.05n + 0.25q = 40

Esta ecuación toma en cuenta el valor de cada tipo de moneda y la suma total de dinero en la bolsa.

This problem has been solved

Similar Questions

Mrs. Crocker cleaned out her purse and found nickels and dimes.  After she counted the change, she found that she had a total of $1.85 of nickels ( x ) and dimes ( y ).  Find an equation that models this situation.

The demand of beans in bags is given by the function Q – 36 + 0.4P = 0. Where P is price in naira and Q is quantity, find  Q when P =N20

Maliya has nickels and dimes in her purse.  The total value of the money is $7.80.  If Maliya counted 66 nickels, find the number of dimes she has.  Write an equation to model this situation and solve for the number of nickels. Responses0.5x + 0.10y = 7.80        Maliya has 25 nickels. 0.5x + 0.10y = 7.80        Maliya has 25 nickels. 0.10x + 0.50y = 7.80      Maliya has 30 nickles0.10x + 0.50y = 7.80      Maliya has 30 nickles0.05x + 10y = 7.80         Maliya has 40 dimes0.05x + 10y = 7.80         Maliya has 40 dimes0.05x + 0.10y = 7.80      Maliya has 45 dimes

Consider a perfectly competitive market for frozen meals. The demand for frozen meals is given by P = 80 - 2Qd and the supply of frozen meals is given by P = 9 + Qs. What is the value of Total Surplus? [Round your answer to 2 decimal places]

Ava is starting a cake-baking business, and she has just spent $150 for equipment. She figures that each cake will cost $4.50 to make, and she plans to sell her cakes for $12 each.Ava wants to find the number of cakes, c, she must sell to break even. In other words, she wants to know how many cakes she must sell before she has made as much money as she has spent. Which equation can she use?150+4.5c=12cc(150+4.5)=12c4.5c+12c=150150–4.5c=12c4.5c+150=12150c+4.5=12How many cakes must Ava sell before she has made as much money as she has spent?cakesSubmit

1/2

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.