A word problem consists of a series of sentences that describe a situation which is to be resolved mathematically through calculations
1st question: Htwe has 75 cookies left
2nd question: [tex]1\frac{1}{2} + \frac{4}{5} \div \frac{3}{8} \times 10\frac{5}{6} = \mathbf{\underline {25\frac{11}{18} }}[/tex]
The reasons the above values are as follows:
1st question:
The known parameters are;
The number of cookies Htwe made = 500
The fraction of cookies she sold = 3/4
The fraction of the cookies she gave to all her friends = 2/5 of the remainder
The required parameter:
How many cookies she has left
Solution:
The number of cookies Htwe sold = 500 cookies × 3/4 = 375 cookies
The number of cookies remaining = (500 - 375) cookies = 125 cookies
∴ The remainder of the cookies after sale = 125 cookies
The number of cookies she gave to her friends = 2/5 × 125 cookies = 50 cookies
The number of cookies she has left = The remainder - The number given to friends
∴ The number of cookies she has left = (125 - 50) cookies = 75 cookies
The number of cookies she has left = 75 cookies
2nd question:
Required;
To evaluate, [tex]1\frac{1}{2} + \frac{4}{5} \div \frac{3}{8} \times 10\frac{5}{6}[/tex]
Solution:
[tex]1\frac{1}{2} + \frac{4}{5} \div \frac{3}{8} \times 10\frac{5}{6} = \dfrac{5}{2} + \dfrac{\dfrac{4}{5} }{\dfrac{3}{8} } \times \dfrac{65}{6} = \dfrac{5}{2} + \dfrac{4}{5} \times \dfrac{8}{3 } \times \dfrac{65}{6} = \dfrac{461}{18}[/tex]
Therefore;
[tex]1\frac{1}{2} + \frac{4}{5} \div \frac{3}{8} \times 10\frac{5}{6} = \dfrac{461}{18} = \underline {25\frac{11}{18} }[/tex]
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