Answered

Pinadadali ng Imhr.ca ang paghahanap ng mga solusyon sa lahat ng iyong mga katanungan kasama ang isang aktibong komunidad. Kumuha ng mga sagot na kailangan mo nang mabilis at eksakto mula sa dedikadong komunidad ng mga eksperto sa aming platform. Kumuha ng detalyado at eksaktong sagot sa iyong mga tanong mula sa dedikadong komunidad ng mga eksperto sa aming Q&A platform.

There are 4 fewer members in Team Red than Team Blue. If 7 members are transferred from team red to team blue, the total number of numbers in team red becomes 1/3 the numbers of Team blue. How many members are there in Team Red and Team Blue respectively?

Sagot :

YourKaito

[tex]\sf\red{-ˋˏ✄┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈}[/tex]

[tex]\sf\large\red{┏━°⌜ 赤い糸 ⌟°━┓}[/tex]

[tex]\mathbb{\huge\red{ANSWER:}}[/tex]

[tex]\sf\large\red{┗━°⌜ 赤い糸 ⌟°━┛}[/tex]

[tex]\sf{\red{✽}}[/tex] [tex]\bold{\red{INITIAL~ CONDITION}}[/tex]

  • There are 4 fewer members in Team Red than Team Blue.
  • Let the number of members in Team Blue be x.
  • Then, the number of members in Team Red is x - 4.

[tex]\sf{\red{✽}}[/tex] [tex]\bold{\red{MOVING~MEMBERS}}[/tex]

  • 7 members are transferred from Team Red to Team Blue.
  • This means the number of members in Team Red decreases by 7, and the number of members in Team Blue increases by 7.

[tex]\sf{\red{✽}}[/tex] [tex]\bold{\red{NEW~MEMBERS~IN~RED}}[/tex]

  • After the transfer, the number of members in Team Red becomes 1/3 the number of members in Team Blue.
  • Let the new number of members in Team Red be y.
  • Then, we have:
  • y = (1/3) x + 7

[tex]\sf{\red{✽}}[/tex] [tex]\bold{\red{NEW~MEMBERS~IN~BLUE}}[/tex]

  • The number of members in Team Blue increases by 7, so it becomes x + 7.

[tex]\sf{\red{✽}}[/tex] [tex]\bold{\red{EQUATING~THE~NEW~MEMBERS}}[/tex]

  • Since the new number of members in Team Red is y, we can set it equal to the new number of members in Team Blue, which is x + 7.
  • y = x + 7

[tex]\sf{\red{✽}}[/tex] [tex]\bold{\red{SUBSTITUTING}}[/tex]

  • (1/3) x + 7 = x + 7.

[tex]\sf{\red{✽}}[/tex] [tex]\bold{\red{SIMPLIFYING}}[/tex]

  • Subtract 7 from both sides and then subtract x from both sides:
  • (1/3) x = x.

[tex]\sf{\red{✽}}[/tex] [tex]\bold{\red{MEMBERS~IN~RED}}[/tex]

  • Since the number of members in Team Red is x - 4, we have:
  • x - 4 = 9 - 4 = 5

[tex]\sf{\red{✽}}[/tex] [tex]\bold{\red{MEMBERS~IN~BLUE}}[/tex]

  • The number of members in Team Blue is x + 7, which is:
  • x + 7 = 9 + 7 = 16

[tex]\boxed{\sf\green{✓}}[/tex] Therefore, there are [tex]\bold{\red{5}}[/tex] members in Team Red and [tex]\bold{\blue{16}}[/tex] members in Team Blue.

[tex]\sf{\red\small{˗ˏ✎*ೃ˚:yourkaito:;}}[/tex]

[tex]\sf\red{-ˋˏ✄┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈┈}[/tex]

Salamat sa iyong pagbisita. Kami ay nakatuon sa pagbibigay sa iyo ng pinakamahusay na impormasyon na magagamit. Bumalik anumang oras para sa higit pa. Salamat sa pagpunta. Nagsusumikap kaming magbigay ng pinakamahusay na mga sagot para sa lahat ng iyong mga katanungan. Kita tayo muli sa susunod. Ipinagmamalaki naming sagutin ang iyong mga katanungan dito sa Imhr.ca. Huwag kalimutang bumalik para sa karagdagang kaalaman.