# Standard Maths Year 12 - homework help (1 Viewer)

#### Yusra366

##### Member
hey guys, I was wondering if anyone would be able to help with this following question:
"Jack has twice as much money as times as much as Ruby. If I give ruby $25, she will have three times as much as jack. How much do jack and Ruby have together?" btw we are learning about simultaneous equations so its got to do with that. #### Qeru ##### Well-Known Member "Jack has twice as much money as times as much as Ruby." This sentence is making my head spin lol. Did you transcribe the question correctly? Ill take it to mean "Jack has twice as much money as Ruby" Let J=Money Jack has and R=Money Ruby has Then: $\bg_white J=2R \quad \text{ Since Jack as two times the amount Ruby has}$ $\bg_white 3J=R+25 \quad \text{ Since adding 25 to Rubys amount gives 3 times what Jack has}$ Then solve these equations using the substitiution method: $\bg_white 6R=R+25 \quad \text{substitution J=2R into equation 2}$ $\bg_white R=5$ Since Jack has 2 times this amount $\bg_white J=10$ So altogether $\bg_white R+J=15$ #### Yusra366 ##### Member "Jack has twice as much money as times as much as Ruby." This sentence is making my head spin lol. Did you transcribe the question correctly? haha omg so sorry i will just send a pic of it: so its q e #### Attachments • 282.7 KB Views: 23 #### username_2 ##### Member let jack be J and Ruby be R. Hence: 1) J = 2R and 2) R+25=3J As a result, you can solve for J and R using a simultaneous equation where: R+25 = 3*(2R) => Therefore 5R = 25 => Therefore R =$5
Hence J = $5 * 2 =$10 initially

As a result, they both had $15 together initially. Hope this helps. edit: lol just realised Qeru did the solution above. Soz. Last edited: #### Yusra366 ##### Member let jack be J and Ruby be R. Hence: 1) J = 2R and 2) R+25=3J As a result, you can solve for J and R using a simultaneous equation where: R+25 = 3*(2R) => Therefore 5R = 25 => Therefore R =$5
Hence J = $5 * 2 =$10 initially

As a result, they both had \$15 together initially. Hope this helps.
omg that makes so much sense now! so dumb
thank you so much, really helped