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The distance from Tressa's home to school is times the distance from Anton's home to school
From the question,
Tressa's home is 4/5 mile from school
and Anton's home is 3/5 mile from school.
To determine how many times the distance from Anton's home to school is the distance from Tressa's home to school, we will divide the distance from Tressa's home to school by the distance from Anton's home to school
That is, 4/5 mile ÷ 3/5 mile
∴ we get
Hence, the distance from Tressa's home to school is times the distance from Anton's home to school
Learn more here: brainly.com/question/17420260
a. The expression y=5x represent the number of small marbles she has.
b. The expression z=3x+2 represents the number of large marbles she has.
c. Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Step-by-step explanation:
a. Let x represent the number of medium marbles Amy has. Write an algebraic expression to represent the number of small marbles she has.
Medium marbles = x
Let,
Small marbles = y
According to given statement;
She has five times as many small marbles as medium marbles.
y = 5x Eqn 1
The expression y=5x represent the number of small marbles she has.
b. Write an algebraic expression to represent the number of large marbles she has.
Let,
Large marbles = z
The number of large marbles is two more than three times the number of medium marbles.
z = 3x+2 Eqn 2
The expression z=3x+2 represents the number of large marbles she has.
c. If Amy has a total of 560 marbles, how many of each size does she have?
x+y+z= 560 Eqn 3
Putting value of y and z from Eqn 1 and 2 in Eqn 3
Dividing both sides by 9
Putting x=62 in Eqn 1
Putting x=62 in Eqn 2
Amy has 310 small marbles, 62 medium marbles and 188 large marbles.
Keywords: linear equation, substitution method
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