A student is given the task of buying 100 ballpoint pens with $100. She must buy at least one $10 pen, at least one $3 pen, and the remainder at 50 cents each. How many pens of each kind does she buy?

The correct answer is 5, $10 pens; 1, $3 pen; 94, 50 cents pens.

Step-by-step explanation:

A student has to buy 100 ball point pens and she has $100 to get the job done.

Price of three different pens are $10, $3 and 50 cents or $0.5.

Let the student buy x number of $10 pens and y number of $3 pens. Number of 50 cents pens bought by the student is 100 - x - y. ( x,y 1)

Total amount spent is 10x + 3y + 0.5(100 - x - y) = 100

⇒ 9.5x + 2.5y + 50 = 100

⇒ 1.9x + 0.5y = 10

⇒ 19x + 5y =100

Value of x (in order to hold the equality where both x and y are positive and greater than 1) is 5 and y is 1.

Total number of 50 cents pen bought is 94.

Thus the student buys 5, $10 pens; 1, $3 pen and 94, 50 cents pens.

on monday rodney ate 1/4th of the sandwich = 3/12

on tuesday he ate 1/3rd of the sandwich = 4/12

therefore in total he has eaten = 3/12 + 4/12 = 7/12

thus we can say that he has eaten 7/12 of the sandwich on monday and tuesday alltogether.

happy to

pls mark as brainliest.

d.) yes, because the volume of the cone is greater than the volume of the sphere

step-by-step explanation: