Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $7,200\$7,200 in political contributions. Single tickets cost $31\$31, while an entire table can be reserved for $640\$640.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of single tickets sold\newliney=y = the number of tables sold\newlineChoices:\newline(A) 640x + 31y > 7,200\newline(B) 31 + x + 640 + y > 7,200\newline(C) 640 + x + 31 + y > 7,200\newline(D) 31x + 640y > 7,200

Full solution

Q. A candidate running for office is putting on a gala as a fundraiser, with hopes of raising more than $7,200\$7,200 in political contributions. Single tickets cost $31\$31, while an entire table can be reserved for $640\$640.\newlineSelect the inequality in standard form that describes this situation. Use the given numbers and the following variables.\newlinex=x = the number of single tickets sold\newliney=y = the number of tables sold\newlineChoices:\newline(A) 640x+31y>7,200640x + 31y > 7,200\newline(B) 31+x+640+y>7,20031 + x + 640 + y > 7,200\newline(C) 640+x+31+y>7,200640 + x + 31 + y > 7,200\newline(D) 31x+640y>7,20031x + 640y > 7,200
  1. Calculate Single Ticket Revenue: Determine the cost of a single ticket and the number of single tickets sold.\newlineCost of each single ticket: $31\$31\newlineNumber of single tickets sold: xx\newlineWhat is the total amount of money raised from single tickets?\newlineCost of each single ticket ×\times Number of single tickets sold\newline=31×x= 31 \times x\newline=31x= 31x\newlineTotal amount of money raised from single tickets: 31x31x
  2. Calculate Table Revenue: Determine the cost of reserving a table and the number of tables sold.\newlineCost of reserving each table: $640\$640\newlineNumber of tables sold: yy\newlineWhat is the total amount of money raised from tables?\newlineCost of reserving each table ×\times Number of tables sold\newline=640×y= 640 \times y\newline=640y= 640y\newlineTotal amount of money raised from tables: 640y640y
  3. Combine Total Revenue: Combine the total amounts raised from single tickets and tables to form an expression for the total amount raised.\newlineTotal amount raised from single tickets: 31x31x\newlineTotal amount raised from tables: 640y640y\newlineWhat is the total amount raised from both single tickets and tables?\newlineAdd total amount raised from single tickets and tables.\newline31x+640y31x + 640y
  4. Set Fundraising Goal Inequality: Determine the inequality that represents the goal of raising more than $7,200\$7,200. The candidate hopes to raise more than $7,200\$7,200. The total amount raised must be greater than $7,200\$7,200. Inequality: 31x + 640y > 7,200

More problems from Write a linear inequality: word problems