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RATIO HELP PLEASE

1. mrs perry shares out 20 biscuits between gemma and zak in the ratio 1:4. how many biscuits do they both get? 

2. mr castle shares out 80 marbles beween emily and asif in the ratio 7:1. how many marbles do they each get? 

3. ms adams shares out 10 pencils between niamh and jack in the ratio 2:3. how many do they each get?



Answer :

kate200468
[tex]1.\\x-how\ many\ biscuits\ has\ Gemma\\ \\x+4x=20\ \ \ \Leftrightarrow\ \ \ 5x=20\ \ \ \Leftrightarrow\ \ \ x=4\ \ \ \Rightarrow\ \ \ 4x=16\\ \\Ans.\ Gemma\ has\ 4\ biscuits\ and\ Zak\ has\ 16\ biscuits.[/tex]

[tex]2.\\x-how\ many\ marbles\ has\ Asif\\ \\7x+x=80\ \ \ \Leftrightarrow\ \ \ 8x=80\ \ \ \Leftrightarrow\ \ \ x=10\ \ \ \Rightarrow\ \ \ 7x=70\\ \\Ans.\ Asif\ has\ 10\ marbles\ and\ Emily\ has\ 70\ marbles.[/tex]

[tex]3.\\2x-how\ many\ pencils\ has\ Niamh\\ \\2x+3x=10\ \ \ \Leftrightarrow\ \ \ 5x=10\ \ \ \Leftrightarrow\ \ \ x=2\ \ \ \Rightarrow\ \ \ 2x=4\ \ and\ \ 3x=6\\ \\Ans.\ Niamh\ has\ 4\ pencils\ and\ Jack\ has\ 6\ pencils.[/tex]