Martha is knitting winter wear for her 3 grandchildren. They're triplets, so they're all the same size. She wants to make a hat, scarf, sweater, mittens, and socks for each of them. It takes 2 skeins of wool to make a hat, 4 for a scarf, 12 for a sweater, 1 for a pair of mittens, and 2 for a pair of socks. How many skeins of wool will she need to buy?
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Step-by-Step Solution
Step 1: Calculate total skeins for one grandchild
First, we need to determine the total number of skeins required for one grandchild by summing the skeins needed for each item of winter wear.
Step 2: Substitute values and sum
We substitute the given number of skeins for each item: 2 for a hat, 4 for a scarf, 12 for a sweater, 1 for mittens, and 2 for socks. Then, we add these values together.
Step 3: Perform the addition
Adding all the values, 2+4+12+1+2=21. So, Martha needs 21 skeins of wool for one grandchild.
Step 4: Calculate total skeins for all grandchildren
Since Martha has 3 grandchildren and each requires 21 skeins, we multiply the skeins per grandchild by the total number of grandchildren to find the grand total.
Step 5: Substitute and multiply
We substitute the calculated skeins needed for one grandchild (21) and the number of grandchildren (3) into the formula.
Step 6: Perform the multiplication
Multiplying 21×3, we find that Martha will need a total of 63 skeins of wool.