Question

Laura sells two sizes of ice cream: pints and gallons. She earns $3.50 for each pint she sells, and $10 for each gallon. If she earns $20,000 in all by selling 3,300 containers, what percentage of her earnings are from pints

Answer 1

60.6%

Step-by-step explanation:

Let x represent the number of pints sold and y represents the number of gallon sold. She earns $3.50 for each pint she sells, and $10 for each gallon, she earns $20,000 in all by selling 3,300 containers Hence:

3.5x + 10y = 20000 (1)

Also:

x + y = 3300 (2)

We have to solve equation 1 and 2 simultaneously, multiply equation 2 by 3.5 and subtract from equation 1. This gives:

6.5y = 9500

Divide both sides by 6.5

6.5y/6.5 = 8450/6.5

y = 1300

Put y = 1300 in equation 2

x + 1300 = 3300

x = 3300 - 1300

x = 2000

Therefore 2000 pints and 1300 gallons were sold

The percentage of earnings from pints = number of pints sold/ total number sold * 100%

The percentage of earnings from pints = 2000/3300 *100% = 60.6%