Attempt following question by selecting a choice to answer.
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A mechanical plant hires 915 labors on a daily wage scheme paying $8385. Men are paid $11 and women are paid $7. Find the number of men and women hired.
eeee ffffA.
f420 men, 495 women
B.
f110 men, 805 women
C.
f198 men, 717 women
D.
f495 men, 420 women
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D
Step 3: Let number of men be x.
Step 4: Let number of women be y.
Step 5: x + y = 915 --- (1)[Linear equation for the number of men and women hired.]
Step 6: 11x + 7y = 8385 --- (2)[Equation for the daily wages paid.]
Step 7: [Revise equation 1.]y = 915 - x
Step 8: [Substitute y = 915 - x in Equation 2.]11x + 7(915 - x) = 8385
Step 9: [Combine like terms.]4x + 6405 = 8385
Step 10: [Subtract 6405 from each side.]4x = 1980
Step 11: [Divide each side by 4.]x = 495
Step 12: [Substitute x = 495 in revised Equation 3.]y = 915 - 495 = 420
Step 13: 420 women and 495 men are hired.