Question

510 boys worked for 12 days and produced 12,000 mat how many boys are needed to produce 10,000 mat in 10 days.
Thanks In Advance Please Be Quick I Need It ASAP
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Answer 1

• x_1=10
• y_1=12
• z_1=12000
• x_2=?
• y_2=10
• z_2=10000

Here

• x varies inversely with y and varies directly with z

$\\ \rm\rightarrowtail x\propto \dfrac{z}{y}$

$\\ \rm\rightarrowtail x=k\dfrac{z}{y}$

Put first values

$\\ \rm\rightarrowtail 10=k\dfrac{12000}{12}$

$\\ \rm\rightarrowtail 10=k(1000)$

$\\ \rm\rightarrowtail k=0.01$

Put for same in second part

$\\ \rm\rightarrowtail x_2=k\dfrac{z_2}{y_2}$

$\\ \rm\rightarrowtail x_2=(0.01)\dfrac{10000}{10}$

$\\ \rm\rightarrowtail x_2=(0.01)(1000)$

$\\ \rm\rightarrowtail x_2=10$

Same 10boys are needed