There are 100 runners entered in a marathon. How many different groups of three runners can finish in first, second, and third?
1 answer:
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The <em><u>correct answer</u></em> is:
She can make 2 loaves of bread and 4 batches of muffins.
Explanation:
Let b represent bread and m represent muffins.
The equation for the amount of flour she needs is 3.5b+2.5m=17.
The equation for the amount of sugar she needs is 0.75b+0.75m=4.5.
To solve this, we will want to eliminate one of the variables. To do this, we will make the coefficients of one of the variables the same. If we multiply 2.5 by 0.3, we get 0.75; this is what we will do to the first equation:
She can bake two loaves of bread.
Substituting 2 for b in the first equation, we have
3.5(2)+2.5m=17
7+2.5m=17
Subtract 7 from each side:
7+2.5m-7=17-7
2.5m=10
Divide both sides by 2.5:
2.5m/2.5 = 10/2.5
m = 4
She can bake 4 batches of muffins.