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primary 5 | Maths
| Fractions
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Date Posted: 3 years ago
Views: 262
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390 + 120 + 80 = 590
590/2 = 295
Bench A
= 295 - 120
= 175 cm
590/2 = 295
Bench A
= 295 - 120
= 175 cm
This is correct.
I got the same answer.
Alternatively,
Two overlapping regions = 390 - 80 - 120
Two overlapping regions = 190
One such region = 95
Length of bench A
= 80 + 95
= 175 cm
Two overlapping regions = 390 - 80 - 120
Two overlapping regions = 190
One such region = 95
Length of bench A
= 80 + 95
= 175 cm
Bench A = overlap + 80cm
Bench B = overlap + 120cm
Bench B is 40cm longer than Bench A
(120cm - 80cm = 40cm)
An easy way to visualise this is to turn bench A around and redraw it. The end of bench A is now flush with end of bench B but it is 40cm shorter
390cm = Bench A + Bench B
Subtract 40cm to get length equal to 2 Bench A
390cm - 40cm = 350cm
Bench A = 350cm ÷ 2 = 175cm
Bench B = overlap + 120cm
Bench B is 40cm longer than Bench A
(120cm - 80cm = 40cm)
An easy way to visualise this is to turn bench A around and redraw it. The end of bench A is now flush with end of bench B but it is 40cm shorter
390cm = Bench A + Bench B
Subtract 40cm to get length equal to 2 Bench A
390cm - 40cm = 350cm
Bench A = 350cm ÷ 2 = 175cm
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