Attempt following question by selecting a choice to answer.
c
A mechanical plant hires 1,169 labors on a daily wage scheme paying $7,702. Men are paid $8 and women are paid $5. Find the number of men and women hired.
cc ccA.
c550 men, 619 women
B.
c551 men, 618 women
C.
c619 men, 550 women
D.
c618 men, 501 women
c
C
Step 1: Let number of men be x.
Step 2: Let number of women be y.
Step 3: x + y = 1169 --- (1)[Express as a linear equation.]
Step 4: 8x + 5y = 7702 --- (2)[Equation for the daily wages paid.]
Step 5: [Rearrange equation 1.]y = 1169 - x
Step 6: [Substitute the values.]8x + 5(1169 - x) = 7702
Step 7: [Group the like terms.]3x + 5845 = 7702
Step 8: [Subtract 5845 from the two sides of the equation.]3x = 1857
Step 10: [Divide throughout by 3.]x = 619
Step 11: [Substitute the values.]y = 1169 - 619 = 550
Step 12: 550 women and 619 men are hired.