10. In a certain hospital, the mean birth rate of a week was 35. If th

1.	10. In a certain hospital, the mean birth rate of a week was 35. If the mean birth rate fromMonday to Thursday was 32 and that of Thursday to Sunday was 36, find the numberof births on Thursday. please answer fast
Answer» Answer: 27 births Step-by-step explanation: Given: The mean birth rate of a week = 35 The mean birth rate from Monday to THURSDAY = 32 The mean birth rate from Thursday to Sunday = 36 To Find: Number of births on Thursday Solution: Let the number of births on Monday be 'a', Tuesday be 'b', Wednesday be 'c', Thursday be 'd', Friday be 'e', Saturday be 'F', and Sunday be 'g'. So, $\frac{a+b+c+d}{4} = 32$ $=> a+b+c+d =$ 32 × 4 = 128 and, $\frac{d+e+f+g}{4} = 36$ $=> d+e+f+g =$ 36 × 4 = 144 Also, $\frac{a+b+c+d+e+f+g}{7} = 35$ $=> a+b+c+d+e+f+g =$ 35 × 7 = 245 Then, on adding first 2 EQUATIONS, we get: $(a+b+c+d)+(d+e+f+g) =$ 128 + 144 => $a+b+c+2d+e+f+g =$ 272 Subtracting third equation from this equation, we get: $(a+b+c+2d+e+f+g) - (a+b+c+d+e+f+g) =$ 272 - 245 => $2d-d$ = 27 => d = 27 Thus, number of births on Thursday = 27