Son is about to set his test in November. Can anyone explain the best method of working out the following please.

Q) There are 14 more girls than boys at a school. In total there are 378 pupils

How many girls are at the school ?

Emasu already gave the answer - thanks - so if you want to try it, don't look down just yet.

Q) There are 14 more girls than boys at a school. In total there are 378 pupils

How many girls are at the school ?

Emasu already gave the answer - thanks - so if you want to try it, don't look down just yet.

Options

## All Comments

(35) Jump to unreadPost a commenthomework isnt it?

how are you working out tell me and we'll work on it together

add 14?

woops no its not HAHA

ssshhhhh :roll:

i knoww :roll:

Thanks, easier than my way

7...

378/2 = 189

196 Girls, 182 Boys

total number of pupils =378

there are x number of boys and x+14 number of girls

so ( 378-14 ) divided by 2 = number of boys

364 divided by 2

= 182 boys

( and 196 girls )

25 questions total

so 19 divided by 25 multiplied by 100 to find percentage

76 % correct xx

total number of pupils =378

there are x number of boys and x+14 number of girls

so ( 378-14 ) divided by 2 = number of boys

364 divided by 2

= 182 boys

( and 196 girls )

378 + 14 / 2 = 196 girls

50...

unless they are the mule 20p coins then................

issometimes easiest to turn the problem into algebra...378 = girls + boys

boys = girls - 14

So replace 'boys' with 'girls - 14'

378 = girls + girls - 14

Add fourteen to both sides

392 = girls + girls = 2 x girls

Divide by 2...

196 = girls

50!?

unless they are the mule 20p coins then................

lol..

20 times 50p = ten quid

1000 ( ten pounds ) divided by 20 ( pence )

= 50 twenty pences x

issometimes easiest to turn the problem into algebra...378 = girls + boys

boys = girls - 14

So replace 'boys' with 'girls - 14'

378 = girls + (girls - 14)

Add fourteen to both sides

392 = girls + girls = 2 x girls

Divide by 2...

196 = girls

woah the first way wrote by the op was easy, this way is over my head.

issometimes easiest to turn the problem into algebra...378 = girls + boys

boys = girls - 14

So replace 'boys' with 'girls - 14'

378 = girls + (girls - 14)

Add fourteen to both sides

392 = girls + girls = 2 x girls

Divide by 2...

196 = girls

I think algebra is easiest too x x

no this way explains why in every step... it makes the most sense x x

issometimes easiest to turn the problem into algebra...378 = girls + boys

boys = girls - 14

So replace 'boys' with 'girls - 14'

378 = girls + girls - 14

Add fourteen to both sides

392 = girls + girls = 2 x girls

Divide by 2...

196 = girls

Will try explain this to him in the morning lol

378 - 14= 364

364/2=182.. 182 boys..

182-378=196...196 girls..

364/2=182.. 182 boys..

182-378=196...196 girls..

Not quite right.

not to this bonehead, its adding steps to a simple (for me) solution, it literally took a second or 2 in my head to work out, using the algebra method involves more steps to my mind where I'd have to jot it down to remember. I can do mathematics a doddle in my head but written down I stumble on the most basics. Unless of course its just reading the formula thats thrown me.

how not they are the correct answers =o

my daughter is like that.... I cant teach her to follow a thought through like I can, but she can neatly jump straight to the answer with minimal working out.... but then cant show her reasoning...

not good these days as they have to prove all their working out as they go.

182-378=196...196 girls.. ???

What else could the answer be!

Question states there are 14 more girls thus 196 must be girls and can be double checked by adding 196 to 182 to get 378.. and by adding 14 to 182...

It's how I worked it out but nvm good luck to both of you:)

Question states there are 14 more girls thus 196 must be girls and can be double checked by adding 196 to 182 to get 378.. and by adding 14 to 182...

It's how I worked it out but nvm good luck to both of you:)

Think you got the numbers the wrong way around. Thanks for the wishes

not good these days as they have to prove all their working out as they go.

Its one of these things, like harlzter and a lot of other people its the sort of problem that I can easily work out in a matter of seconds using emasu's method or something similar in my head - but I'd guess around 11 is probably the ideal time to start thinking of things in terms of algebra. There are seemingly extra steps (but in this case its basically operations you are performing in your head almost without realising) - but if you can start to rationalise things in terms of simple algebra you can show your working and make double sure of your answers - by GCSE you will need to use it a lot so its not a bad idea to start practicing early :thumbsup: