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Svet_ta [14]
3 years ago
13

Justin weighs 15 pounds less than Greg weighs. Half of Greg’s weight is 75 pounds less than Justin’s weight. How much does each

of them weigh? A. Greg weighs 200 pounds, and Justin weighs 185 pounds. B. Greg weighs 190 pounds, and Justin weighs 175 pounds. C. Greg weighs 180 pounds, and Justin weighs 165 pounds. D. Greg weighs 170 pounds, and Justin weighs 155 pounds.
Mathematics
1 answer:
liubo4ka [24]3 years ago
6 0

Answer:

C. Greg weighs 180 pounds, and Justin weighs 165 pounds

Step-by-step explanation:

let G be the weight of Greg and J be the weight of Justin

G -15=J

G/2 +75=J

G =J+15       (1)

G+150=2J.  (2)

If We substitute G by J+15 in equation (2) we will get:

G =J+15

J+15+150=2J

G =J+15

J+15+150=2J

G =J+15

J+165=2J

then J=165 and G=165+15=180

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Miki prepared two gallons of a beverage that contains tea and lemonade in the ratio tea:lemonade=3:1. If Miki then added one-hal
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Ratio of tea to lemonade in the new mixture is 3 : 2

<h3><u>Solution:</u></h3>

Given that volume of a beverage prepared by Miki containing tea and lemonade = 2 gallons

Ratio of tea and lemonade in beverage prepared by Miki = 3:1  

Then Miki added one half of gallon of lemonade to the mixture.  

Need to determine ratio of tea and lemonade in the new mixture.

Lets first calculate volume of tea and volume of lemonade in old mixture that is the one before adding one half of gallon of lemonade.

Given ratio of tea and lemonade in old mixture = 3: 1 , means our of every four parts of mixture, 3 parts are of tea and 1 part is of lemonade.

=>\text { In old mixture, } \frac{3}{4} \text { is tea and } \frac{1}{4} \text { is lemonade. }

\text { Volume of tea in old mixture }=\frac{3}{4} \times \text { volume of old mixture }=\frac{3}{4} \times 2 \text { gallons }=1.5 \text { gallons }

\text { Volume of lemonade in old mixture }=\frac{1}{4} \times \text { volume of old mixture }=\frac{1}{4} \times 2 \text { gallons }=0.5 \text { gallons }

Given that one-half gallon of lemonade is added to old mixture to form new mixture.

So Volume of lemonade in new mixture = Volume of lemonade in old mixture + one half gallon = 0.5 + 0.5 = 1 gallon

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