RATIO HELP PLEASE1. 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?

Answers

Answer 1

Answer: $1.\nx-how\ many\ biscuits\ has\ Gemma\n \nx+4x=20\ \ \ \Leftrightarrow\ \ \ 5x=20\ \ \ \Leftrightarrow\ \ \ x=4\ \ \ \Rightarrow\ \ \ 4x=16\n \nAns.\ Gemma\ has\ 4\ biscuits\ and\ Zak\ has\ 16\ biscuits.$

$2.\nx-how\ many\ marbles\ has\ Asif\n \n7x+x=80\ \ \ \Leftrightarrow\ \ \ 8x=80\ \ \ \Leftrightarrow\ \ \ x=10\ \ \ \Rightarrow\ \ \ 7x=70\n \nAns.\ Asif\ has\ 10\ marbles\ and\ Emily\ has\ 70\ marbles.$

$3.\n2x-how\ many\ pencils\ has\ Niamh\n \n2x+3x=10\ \ \ \Leftrightarrow\ \ \ 5x=10\ \ \ \Leftrightarrow\ \ \ x=2\ \ \ \Rightarrow\ \ \ 2x=4\ \ and\ \ 3x=6\n \nAns.\ Niamh\ has\ 4\ pencils\ and\ Jack\ has\ 6\ pencils.$

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Step-by-step explanation:

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(I did this in class, and my teacher went over the answer)

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~Hope this helped

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