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# FreeWheelin' Skate Shop.

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In the FreeWheelin' Skate Shop, exactly 1/4 of the skateboards are red and exactly 2/3 of the scooters are red. If there are equal numbers of red skateboards and red scooters in the shop, what fraction of the total skateboards and scooters together are red?

Thank you.

Oct 9, 2021

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In the FreeWheelin' Skate Shop, exactly 1/4 of the skateboards are red and exactly 2/3 of the scooters are red. If there are equal numbers of red skateboards and red scooters in the shop, what fraction of the total skateboards and scooters together are red?

The fraction is 4/11     (See diagram)) Oct 9, 2021
edited by civonamzuk  Oct 9, 2021
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Say there are 24 boards      1/4 = 6 red boards

so 2/3 of the scooters = 6 also           then red scooters = 9

24 + 9 = 33 total items            12 are red       33 f = 12      f = fracton of total        f = 12/33 = 4/11 of the total are red

Oct 9, 2021
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Say there are 24 boards         1/4 = 6 red boards

so 2/3 of the scooters are red  = 6 also            then total  scooters = 9      *** edited *** (for clarity-- answer does not change)

24 + 9 = 33 total items            12 of the total (6+6)  are red

33 f = 12      f = fracton of total        f = 12/33 = 4/11 of the total are red

ElectricPavlov  Oct 9, 2021
edited by ElectricPavlov  Oct 9, 2021