# Can someone do this Y4 maths question for me please?

(126 Posts)
cantdomaths Thu 19-Jul-18 21:19:42

Brain is muddled...

There are 170 people in a hall.
There are 6 times as many girls as boys.
There are 6 more boys than teachers.
How many teachers are there?

I have Maths A level...but have also been drinking wine....

OP’s posts: |
shakeyourcaboose Thu 19-Jul-18 21:22:11

This has reduced me to sweaty mess! I have any form of maths!

shakeyourcaboose Thu 19-Jul-18 21:22:22

Hate not have!

Loopytiles Thu 19-Jul-18 21:24:51

Is it algebra?

X + 6Y + (X-6) = 170

cantdomaths Thu 19-Jul-18 21:28:18

Assumed so and came up with similar equation but then thought may be too complicated for y4??

OP’s posts: |
Noeuf Thu 19-Jul-18 21:29:31

I always pick a figure to start with and then work up or down.

cantdomaths Thu 19-Jul-18 21:29:41

And is that even solvable., and why am I bothered?!

OP’s posts: |

cosmonautkitten Thu 19-Jul-18 21:30:09

There are 16 teachers.

22 boys x 6 = 132 girls.
Add the 22 boys to equal 154 students which means there are 16 people left over so all must be teachers as 16 is less than 22!

cantdomaths Thu 19-Jul-18 21:31:39

But is there a way of working it out other than just trial and error? I need workings!

OP’s posts: |
thejoysofboys Thu 19-Jul-18 21:32:16

loopytiles is right (although there’s a typo)
X + 6X + (X-6) = 170

Rearrange to get X on one side and numbers on the other:

8X = 176

Therefore X = 22 = number of boys
Number of teachers = X - 6 = 16

Sammy867 Thu 19-Jul-18 21:32:36

16 teachers? 22 boys and 132 girls

winterwonderly Thu 19-Jul-18 21:33:09

16? Am I right? Oh let's have a maths problems thread please, that was rather fun!

cantdomaths Thu 19-Jul-18 21:33:36

Thanks- obvious now!

OP’s posts: |
KHFC2018 Thu 19-Jul-18 21:33:44

Teacher is X
Boys X + 6
Girls 6x + 36
So 8x + 42 is 170
X is 16

16 teachers.
I haven't done simultaneous equations for years and am pleased I got the right answer!

ceeveebee Thu 19-Jul-18 21:34:43

It’s X + 6X+ (X-6) = 170 where X is the number of boys

Or in other words, 8X= 176 and so there are 22 boys, 16 teachers and 132 girls

ceeveebee Thu 19-Jul-18 21:35:12

And I am very slow at typing!

ShackUp Thu 19-Jul-18 21:35:21

Hang about, a simultaneous equation for Year 4s????

cantdomaths Thu 19-Jul-18 21:35:47

I may have to go and wake DC up to show them....

OP’s posts: |
cornflakegirl Thu 19-Jul-18 21:35:59

I don't think that algebra is on the curriculum for Y4, although I'm sure some of them could work it through with help. Quite big numbers to be working with if they're expecting trial and error

Greaterthanthesumoftheparts Thu 19-Jul-18 21:36:05

G = 6B
T = B-6
G+B+T=170
6B+B+B-6=170
8B=176
B=22
T=16

Mishappening Thu 19-Jul-18 21:37:22

Year 4!!!!

16

boys = b

girls = 6 x boys = 6b

teachers = boys - 6 = (b - 6)

6b + b + (b - 6) = 170

7b + (b - 6) = 170

8b = 170 + 6

8b = 176

b = 176 / 8 = 22

teachers = b - 6 = 22 - 6 = 16

MrsBartlettforthewin Thu 19-Jul-18 21:38:22

I got 15 teachers.
170= G+ B+ T
170 = G + B+B-6
170=6B + B +B -6
170 = 8B -6
176= 8B

176/8= 21
21-6= 15 teachers

Pawpaw60 Thu 19-Jul-18 21:38:35

My dd is year 4 and wouldn't have a clue how to do this! Definitely not something they've been doing this year.

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