G9 Math, PA help po
Activity # 3 Where in the Real World?
1. A rectangle field has an area of 300 square meters and a perimeter of 80
meters. What is the ratio of the length to the width of this field?
2. The length of the side of square A is half the length of the side of square
B. What is the ratio of the perimeter of square A to the perimeter of
square B?
3. At the start of the week a bookshop had science and art books in the
ratio 2:5. By the end of the week, 20% of each type of books were sold
and 2240 books of both types were unsold. How many books of each
type were there at the start of the week?
4. At the start of the month a shop had 20-inches and 40-inches television
sets in the ratio 4:5. By the end of the month, 200 20-inches and 500 40-
inches were sold and the ratio of 20-inches to 40-inches television sets
became 1:1. How many television sets of each type were there at the
start of the month?
5. A firefighter truck can hold 3000 gallons of water. A firefighter can
deliver 160 gallons of water every 2 minutes.
a. How much water will be delivered in 10 minutes?
b. How long will it take for the firefighter to empty the tank?
Activity # 3 Where in the Real World?
1. A rectangle field has an area of 300 square meters and a perimeter of 80
meters. What is the ratio of the length to the width of this field?
2. The length of the side of square A is half the length of the side of square
B. What is the ratio of the perimeter of square A to the perimeter of
square B?
3. At the start of the week a bookshop had science and art books in the
ratio 2:5. By the end of the week, 20% of each type of books were sold
and 2240 books of both types were unsold. How many books of each
type were there at the start of the week?
4. At the start of the month a shop had 20-inches and 40-inches television
sets in the ratio 4:5. By the end of the month, 200 20-inches and 500 40-
inches were sold and the ratio of 20-inches to 40-inches television sets
became 1:1. How many television sets of each type were there at the
start of the month?
5. A firefighter truck can hold 3000 gallons of water. A firefighter can
deliver 160 gallons of water every 2 minutes.
a. How much water will be delivered in 10 minutes?
b. How long will it take for the firefighter to empty the tank?
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Answers & Comments
1)
Area = lw = 300
perimeter = = 2(l + w) = 80
l + w = 40
l = 40 - w
lw = 300
(40-w)(w) = 300
-w² + 40w = 300
w² - 40w + 300 = 0
(w - 30)(w - 10) = 0
w = 30 or 10
we take w = 10
l = 40 - 10
l = 30m
2)
side of Square A = x/2
side of Square B = x
P_A = 4(x/2) = 2x
P_B = 4x
2x:4x
1:2
3)
start of the week = 2:5 = 2x + 5x
end of the week:
2x + 5x - (2x + 5x)*20% = 2240
7x - 1.4x = 2240
5.6x = 2240
x = 400
2(400) + 5(400)
= 2800 books
4)
start of the month ratio = 4:5 = 4x:5x
end of the month (sold):
20-inches = 200 = 4x - 200
40-inches = 500 = 5x - 500
1:1 = (4x - 200):(5x -500)
5x - 500 = 4x - 200
x = 300
20 inches = 4(300) = 1200
40 inches = 5(300) = 1500
5)
a)
total water in a firetruck = 3000 gal
firefighter can deliver = 160 gal per 2min
(160gal/2min)(10min) = 80gal
b)
(160gal/2min)(x) = 3000gal
x = 375 minutes
make sure to brainliest this answer so I can notice your next question :)