Question

Mrs. Rullo has four times as many pens as Mrs. virola. they have a total of 40 pens. How many more pens does Mrs.Rullo have then Mrs. virola ? Choose a strategy and show your work?

Answer 1

Hello there! Mrs. Rullo would have 24 more pens than Mrs. Virola.

Need an Explanation?:

Let's use a system of equations to solve.

(r = Mrs. Rullo, v = Mrs. Virola)

4v = r - Models that Mrs. Rullo has 4 times the pens of Mrs. Virola)

r + v = 40 - Models that they have a total of 40 pens.

Next place the first equation in the place of r in the second equation and solve.

(4v) + v = 40

Combine like terms.

5v = 40

Divide 5 from both sides to isolate v.

v = 8

This means Mrs. Virola has 8 pens. How many pens does Mrs. Rullo have? well, since they add up to 40, subtract Mr's Virola's amount from 40 to get the remaning number, or Mrs. Rullo's Amount.

40 - 8 = 32.

So this means that Mrs. Rullo has 32 pens.

But wait - the question is asking how many more pens Mrs. Rullo has than Mrs. Virola.

So, subtratct Mrs. Rullo's amount from Mrs. Virola's to find the difference.

32 - 8 = 24

So, she has 24 more pens.

I hope this helps, and have a great day! Please don't hesitate to ask if you need more help with this specific question!

Answer 2

x + 4x = 40

5x = 40

x = 8

Mrs. Viola has 8 and Mrs. Rullo has 4*8=32 pens.