This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Step 1: Calculate the number of toffees each student received. To find out how many toffees each student got, divide the total number of toffees by the number of students. Toffees per student = Total toffeesNumber of students Toffees per student = (136)/(17) Toffees per student = 8 Each student got 8 toffees. Step 2: Calculate the number of boxes needed. To find the number of boxes needed, divide the total number of mangoes by the number of mangoes per box. Number of boxes = Total mangoesMangoes per box Number of boxes = (68320)/(32) Number of boxes = 2135 2135 boxes are needed. Step 3: Calculate the number of stones in one heap. To find the number of stones in one heap, divide the total number of stones by the number of heaps. Stones per heap = Total stonesNumber of heaps Stones per heap = (10104)/(12) Stones per heap = 842 There are 842 stones in one heap. Step 4: Find the other number. Given the product of two numbers and one of the numbers, divide the product by the known number to find the other number. Other number = ProductOne number Other number = (5394)/(93) Other number = 58 The other number is 58. Step 5: Calculate the number of boxes filled and books left over. Divide the total number of books by the number of books per box to find the number of completely filled boxes and the remainder. 6011 ÷ 46 6011 = 46 × 130 + 31 So, 130 boxes are completely filled, and 31 books are left over. 130 boxes are completely filled, and 31 books are left over. Step 6: Calculate the number of complete rows and trees left over. Divide the total number of trees by the number of trees per row to find the number of complete rows and the remainder. 5301 ÷ 35 5301 = 35 × 151 + 16 So, 151 complete rows are formed, and 16 trees will be left over. 151 complete rows are formed, and 16 trees will be left over. Step 7: Calculate how many dozens make 8676. Since one dozen equals 12, divide the total number by 12 to find the number of dozens. Number of dozens = (8676)/(12) Number of dozens = 723 723 dozens make 8676. Step 8: Calculate the number of packets required. To find the number of packets required, divide the total number of pencils by the number of pencils per packet. Number of packets = Total pencilsPencils per packet Number of packets = (53304)/(24) Number of packets = 2221 2221 packets will be required. Step 9: Calculate the number of ribbons the teacher can get. To find the number of ribbons, divide the total length of the ribbon roll by the length of each ribbon. Number of ribbons = Total length of rollLength of each ribbon Number of ribbons = 800 cm25 cm Number of ribbons = 32 The teacher can get 32 ribbons. Step 10: Find the least number to be subtracted. To find the least number that should be subtracted from 28375 so that the result is exactly divisible by 84, we need to find the remainder when 28375 is divided by 84. 28375 ÷ 84 28375 = 84 × 337 + 7 The remainder is 7. This means if we subtract 7 from 28375, the result will be exactly divisible by 84. The least number to be subtracted is 7.