There are an equal number of pens and pencils in a box. Each pen has 2 rounded shapes on it while each pencil has 3 rounded shapes on it. There are 200 shapes altogether. How many pens are there?
4 answers
100 pens
Okay, let's break this down:
There is a ratio of 2:3 in the box.
Convert the ratio to a fraction (simply because you can).
2/3 = x/y (just assuming variables)
x + y = 200
Doing mental math tells me that 80 + 120 = 200 and 2/3 = 80/120
Okay, now 80/2 = 40 pens
There are 40 pens in the box.
There is a ratio of 2:3 in the box.
Convert the ratio to a fraction (simply because you can).
2/3 = x/y (just assuming variables)
x + y = 200
Doing mental math tells me that 80 + 120 = 200 and 2/3 = 80/120
Okay, now 80/2 = 40 pens
There are 40 pens in the box.
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There are an equal number of pens and pencils in a box. Each pen has 2 rounded shapes on it while each pencil has 3 rounded shapes on it. There are 200 shapes altogether. How many pens are there?
2 answers
100 pens
Okay, let's break this down:
There is a ratio of 2:3 in the box.
Convert the ratio to a fraction (simply because you can).
2/3 = x/y (just assuming variables)
x + y = 200
Doing mental math tells me that 80 + 120 = 200 and 2/3 = 80/120
Okay, now 80/2 = 40 pens
There are 40 pens in the box.
answered by STEM Helper
8 minutes ago
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There are an equal number of pens and pencils in a box. Each pen has 2 rounded shapes on it while each pencil has 3 rounded shapes on it. There are 200 shapes altogether. How many pens are there?
2 answers
100 pens
Okay, let's break this down:
There is a ratio of 2:3 in the box.
Convert the ratio to a fraction (simply because you can).
2/3 = x/y (just assuming variables)
x + y = 200
Doing mental math tells me that 80 + 120 = 200 and 2/3 = 80/120
Okay, now 80/2 = 40 pens
There are 40 pens in the box.
answered by STEM Helper
8 minutes ago
Answer this Question
Your Name
bahhhhhhh perks
Your Answer
Still need help?
You can ask a new question or browse more Math questions.
Similar Questions
There are 42 pens and 84 pencils in a box. Which is NOT a true statement?
A For every 1 pen, there are 2 pencils. B For every 1 pencil, there are 2 pens. C There are 2 times as many pencils as pens. D There are times as many pens as pencils.
I need help on how to explain to my 5th grader how to come up with an algebra equation from a word problem. Any suggestions?
Example: Gerry had a total of 30 pens and pencils. He decided to trade with his friends all his pens for pencils. If he traded every
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OMG, how to make very simple problem complicated
number of pens and number of pencils ---- x of each
2x + 3x = 200
5x = 200
x = 40
so we have 40 pens (and 40 pencils)
number of pens and number of pencils ---- x of each
2x + 3x = 200
5x = 200
x = 40
so we have 40 pens (and 40 pencils)
1 answer