D = 8cm H=8cm - Gauthmath

Math Resources/Statistics/

Question

There are 18 packets of sweets and 12 boxes of sweets in a carton.  The mean number of sweets in all the 30 packets and boxes is 14.  The mean number of sweets in the 18 packets is 10.  Work out the mean number of sweets in the boxesSHOW LESS144

Solution

user avatar imageAnswer20ExplanationStep 1: Calculate the total number of sweets in all the packets and boxes by multiplying the mean number of sweets by the total number of packets and boxes. \( 30 \times 14 = 420 \) sweets. Step 2: Calculate the total number of sweets in the 18 packets by multiplying the mean number of sweets in the packets by the number of packets. \( 18 \times 10 = 180 \) sweets. Step 3: Subtract the total number of sweets in the packets from the total number of sweets in all the packets and boxes to find the total number of sweets in the boxes. \( 420 - 180 = 240 \) sweets. Step 4: Divide the total number of sweets in the boxes by the number of boxes to find the mean number of sweets per box. \( \frac{240}{12} = 20 \) sweets per box. Therefore, the mean number of sweets in the boxes is 20.Click to rate:92.4(807 votes)Search questionBy textBy image/screenshotDrop your file here orClick Hereto upload

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