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Rashid [163]
3 years ago
10

if walters scooter can travel 53 miles on 1 gallon of gas, how far can his scooter travel on 2.5 gallons of gas?

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
7 0

Step-by-step explanation:

t= how far his scooter can travel on 2.5 gallons of gas

Start by setting up a ratio

53:1= t:2.5

Rewrite as fractions

\frac{53}{1} = \frac{t}{2.5}

Cross multiply

1(t)= 53(2.5)

Simplify

t= 132.5

Walter's scooter can travel 132.5 miles on 2.5 gallons of gas

I hope this helps!!!

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The nut shack sells cashews for $6.00 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to mak
Kay [80]

Answer:

Number of pounds of cashews = x = 14.96 pounds

Number of pounds of Brazil nuts = y = 19.04 pounds

Step-by-step explanation:

Let us represent:

Number of pounds of cashews = x

Number of pounds of Brazil nuts = y

The nut shack sells cashews for $6.00 per pound and Brazil nuts for $5.00 per pound. How much of each type should be used to make a 34 pound mixture that sells for $5.44 per pound

Our system of equations is given as:

x + y = 34...... Equation 1

x = 34 - y

6x + 5y = 34 × 5.44

6x + 5y = 184.96.......Equation 2

Ww substitute : 34 - y for x in Equation 2

6(34 - y) + 5y = 184.96

204 - 6y + 5y = 184.96

Collect like terms

- 6y + 5y = 184.96 - 204

-y = -19.04

y = 19.04 pounds

Solving for x

x = 34 - y

x = 34 - 19.04

x = 14.96 pounds

Number of pounds of cashews = x = 14.96 pounds

Number of pounds of Brazil nuts = y = 19.04 pounds

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