Go through the Math in Focus Grade 5 Workbook Answer Key Chapter 2 Practice 9 Real-World Problems: Multiplication and Division to finish your assignments.
Math in Focus Grade 5 Chapter 2 Practice 9 Answer Key Real-World Problems: Multiplication and Division
Solve. Use any strategy.
Question 1.
Hannah and Francine have $120. Hannah and Peter have $230. Peter has 6 times as much money as Francine.
How much money does Hannah have?
Answer:
$98,
Explanation:
Given information Francine has $X.
Peter has $6X (Peter has 6 times as much money as Francine)
Hannah has $Y
X + Y = 120.
6X + Y = 230.
Subtracting above two equations as shown below
(6X + Y) – (X+Y) = 230 – 120
6X + Y – X – Y = 110
Sum: 5x = 110,
X = $22.
X + Y = 120,
Y = 120 – X = 120 – 22 = $98,
Hannah have $98.
Question 2.
Larry is 10 years old and his sister is 7 years old. In how many years’ time will their total age be 25 years?
Answer:
4yrs,
Explanation:
Larry = 10 yrs and Sister is 7 yrs,
10 + 7 = 25 – 8,
14 + 11 = 25,
After 4 yrs the total age be 25 yrs,
Question 3.
A box of chalk and 2 staplers cost $10. Three boxes of chalk and 2 staplers cost $1 8.
Find the total cost of 1 box of chalk and 1 stapler.
Answer:
1 box of chalk =$4 and 1 stapler = $3,
Explanation:
1 Chalk Box + 2 Stapler = 10,
3 Chalk Box + 2 Stapler = 18,
subtract the above two as shown below to find the cost of 1 box of chalk and 1 stapler
(3B+2S) – (B + 2S) = 18 – 10,
3B + 2S – B – 2S = 8,
2B = 8,
1B = 4,
B + 2S = 10,
4 + 2S = 10,
2S = 10 – 4 = 6,
S= 6/2 = 3.
Solve. Use any strategy.
Question 4.
Sally and Marta had the same number of postcards. After Sally sold 18 of her postcards,
Marta had 4 times as many postcards as Sally. How many postcards did each girl have to begin with?
Answer:
24 post cards,
Explanation:
Let the number of postcards with Sally and Marta be X.
After selling 18 postcards by Sally, now shelly had X – 18 postcards.
Then Marta will have 4 times of Sally.
4(X−18) = X,
4X − 72 = X,
4X −X = 72,
3X = 72,
X = 24,
Hence each girl had 24 postcards in the beginning.
Solve. Use any strategy.
Question 5.
A basket with 12 apples has a mass of 3,105 grams. The same basket with 7 apples has a mass of
1,980 grams.
Each apple has the same mass. What is the mass of the basket?
Answer:
405 grams,
Explanation:
A basket with 12 apples has a mass of 3,105 grams,
X Grams per apple,
Y Grams = Wt. of basket,
12x + Y = 3105,
7X + Y = 1980,
Subtracting the above equation as shown below
(12x + Y ) – (7X + Y) = 3105 – 1980,
5X = 1125,
X = 225,
Replace X with 225,
12X,
12 x 225 + Y = 3105,
Y = 3105 – 2700 = 405.