To determine which load is heavier, oak logs weighing 1 2/3 tons or maple logs weighing 1 7/12 tons, we convert these to improper fractions and find that 44/12 tons (oak logs) is heavier than 19/12 tons (maple logs).
To determine which load weighs more, we must compare 1 2/3 tons of oak logs and 1 7/12 tons of maple logs. First, we need to convert these mixed numbers into improper fractions. For the oak logs, we multiply 3 (the whole number) by 3 (the denominator) and add 2 (the numerator), giving us 11/3 tons. For the maple logs, we multiply 1 by 12 (the denominator) and add 7 (the numerator), giving us 19/12 tons.
To compare, we convert these fractions so they have a common denominator:
11/3 tons is equal to 44/12 tons when multiplied by 4/4.
19/12 tons remains unchanged as it already has the common denominator of 12.
Now we compare 44/12 (oak logs) and 19/12 (maple logs). 44/12 tons is greater than 19/12 tons, so the load of oak logs weighs more than the load of maple logs.
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{3x+2y=8
Use the substitution method.