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1. A label on an iced tea drink mix says to use 2 tbsp of iced tea mix to make one
serving (8 oz) of iced tea.
a. What is the ratio of drink mix to iced tea? (Hint: 1 oz = 2 tbsp)
Sol: - Given that 1 oz = 2 tbsp
So, it means that one serving (8 oz) of iced tea has 2 tbsp (1 oz) of mix.
Hence the ratio of the drink mix to iced tea is 1:8
b. Suppose you want to make a quart (32 oz) of iced tea. How many ounces of
drink mix should be used?
1
Sol: - As we know that of iced tea is drink mix, so
8
1
Drink mix for 32 oz tea = × 32 = 4 𝑜𝑧
8
Hence to make a quart (32 oz) of iced tea, 4 oz of drink mix should be used.
c. How many tablespoons of iced tea mix should be used to make a quart (32
oz) of iced tea?
Sol: - As 1 oz = 2 tbsp, so
Tablespoons required to make a quart (32 oz) of iced tea = 4 𝑜𝑧
= 4 × 2 𝑡𝑏𝑠𝑝
= 8 𝑡𝑏𝑠𝑝
Hence 8 tablespoons of iced tea mix should be used to make a quart (32 oz) of
iced tea.
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2. △ RST has coordinates R (-4, -3), S (0, 5), and T (7, -3).
a. Graph △ RST in a coordinate plane.
Sol: -
b. Find the perimeter of △ RST.
Sol: -
To find the perimeter, we first find the lengths of the sides by distance formula.
𝑅𝑆 = √(−3 + 3)2 + (7 + 4)2 = √(0)2 + (11)2 = √(11)2 = 11 𝑢𝑛𝑖𝑡𝑠
𝑆𝑇 = √(5 + 3)2 + (0 − 7)2 = √(8)2 + (−7)2 = √64 + 49 = √113 𝑢𝑛𝑖𝑡𝑠
𝑅𝑇 = √(5 + 3)2 + (0 + 4)2 = √(8)2 + (4)2 = √64 + 16 = √80 = √16 × 5 = 4√5 𝑢𝑛𝑖𝑡𝑠
Now,
𝑃𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟 = 11 + √113 + 4√5 = 30.574 𝑢𝑛𝑖𝑡𝑠
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1 of 7https://www.stuvia.com/user/allatopnotchhttps://www.stuvia.com/user/a
1. A label on an iced tea drink mix says to use 2 tbsp of iced tea mix to make one
serving (8 oz) of iced tea.
a. What is the ratio of drink mix to iced tea? (Hint: 1 oz = 2 tbsp)
Sol: - Given that 1 oz = 2 tbsp
So, it means that one serving (8 oz) of iced tea has 2 tbsp (1 oz) of mix.
Hence the ratio of the drink mix to iced tea is 1:8
b. Suppose you want to make a quart (32 oz) of iced tea. How many ounces of
drink mix should be used?
1
Sol: - As we know that of iced tea is drink mix, so
8
1
Drink mix for 32 oz tea = × 32 = 4 𝑜𝑧
8
Hence to make a quart (32 oz) of iced tea, 4 oz of drink mix should be used.
c. How many tablespoons of iced tea mix should be used to make a quart (32
oz) of iced tea?
Sol: - As 1 oz = 2 tbsp, so
Tablespoons required to make a quart (32 oz) of iced tea = 4 𝑜𝑧
= 4 × 2 𝑡𝑏𝑠𝑝
= 8 𝑡𝑏𝑠𝑝
Hence 8 tablespoons of iced tea mix should be used to make a quart (32 oz) of
iced tea.
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https://www.stuvia.com/user/allatopnotchPage
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2. △ RST has coordinates R (-4, -3), S (0, 5), and T (7, -3).
a. Graph △ RST in a coordinate plane.
Sol: -
b. Find the perimeter of △ RST.
Sol: -
To find the perimeter, we first find the lengths of the sides by distance formula.
𝑅𝑆 = √(−3 + 3)2 + (7 + 4)2 = √(0)2 + (11)2 = √(11)2 = 11 𝑢𝑛𝑖𝑡𝑠
𝑆𝑇 = √(5 + 3)2 + (0 − 7)2 = √(8)2 + (−7)2 = √64 + 49 = √113 𝑢𝑛𝑖𝑡𝑠
𝑅𝑇 = √(5 + 3)2 + (0 + 4)2 = √(8)2 + (4)2 = √64 + 16 = √80 = √16 × 5 = 4√5 𝑢𝑛𝑖𝑡𝑠
Now,
𝑃𝑒𝑟𝑖𝑚𝑒𝑡𝑒𝑟 = 11 + √113 + 4√5 = 30.574 𝑢𝑛𝑖𝑡𝑠
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