Problem # 1. Father bought a sack of rice weighing 50 kilos. Mother cooks 1/3k for breakfast, 3/4k for lunch,
and 1/2k for supper at a regular basis.
a). How many kilos will they consume in a day?
Write the number sentence:
Solution and Answer:
b). How many kilos will they consume in a week?
a
Number Sentence:
Solution and Answer:
c). How many kilos is left in the sack after a week?
Number Sentence:
Solution and Answer:
Answers & Comments
Verified answer
Problem Solving Involving Fractions
a. How many kilos will they consume in a day?
Let x be the total kg of rice consumed in a day
x =
+
+ ![\frac{1}{2} \frac{1}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D)
x =
+
+ ![\frac{6}{12} \frac{6}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B6%7D%7B12%7D)
x =
x = 1
kilos
They will consume 1
kilos of rice in a day
b. How many kilos will they consume in a week?
Let y be the total kg of rice consumed in a week
y = 1
x 7
y =
x 7
y =
x ![\frac{7}{1} \frac{7}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B1%7D)
y =![\frac{133}{12} \frac{133}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B133%7D%7B12%7D)
y = 11
kilos
They will consume 11
kilos of rice in a week.
c. How many kilos is left in the sack after a week?
Let z be the kg of rice left after a week:
z = 50 - 11
z = 49
- 11 ![\frac{1}{12} \frac{1}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B12%7D)
z = 38
kilos
There will be 38
kilos of rice left after a week.
Step-by-step explanation:
A. In adding dissimilar fractions, we follow the steps below:
1. Change dissimilar fractions (different denominators) into similar fractions (same denominators).
a. Find LCM (least common multiple) of the denominators.
b. Convert the fractions to equivalent fractions with denominators equal to
the LCM.
2: Add the numerators (top numbers).
3. Copy the common denominator.
3: Simplify the fraction when necessary.
B. In multiplying the mixed number and a whole number, we follow the steps below:
1. Convert the mixed number to an improper fraction.
a. Multiply the denominator by the whole number and add this to the numerator. This becomes the numerator of the improper fraction.
b. Copy the denominator.
2. Change the whole number into a fraction by adding the denominator 1.
3. Multiply the numerators.
4. Multiply the denominators.
5. Simplify the fraction when necessary.
C. In subtracting a mixed number from a whole number, follow the steps below:
1. Convert the whole number into a mixed number. The fraction part of the minuend should have the same denominator as the subtrahend.
Ex. 50 = 49![\frac{12}{12} \frac{12}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B12%7D)
2. Subtract the whole numbers of the minuend and subtrahend.
3. Subtract the fractions of the minuend and subtrahend.
a. Subtract the numerator.
b. Copy the common denominator.
4. Simplify when necessary
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