Answer:the price for one shirt is $7.5
the price for one pair of pants is $18.5
Step-by-step explanation:
Let x represent the price for one shirt.
Let y represent the price for one pair of pants.
Lisa goes to the mall one day and buys four shirts and three pairs of pants for $85.50. This means that
4x + 3y = 85.5 - - - - - - - - - -1
She returns the next day and buys three shirts and five pairs of pants for $115.00. This means that
3x + 5y = 115 - - - - - - - - - - - 2
Multiplying equation 1 by b3 and equation 2 by 4, it becomes
12x + 9y = 256.5
12x + 20y = 460
Subtracting, it becomes
- 11y = - 203.5
y = - 203.5/ -11 = 18.5
Substituting y = 18.5 into equation 1, it becomes
4x + 3×18.5 = 85.5
4x + 55.5 = 85.5
4x = 85.5 - 55.5 = 30
x = 30/4 = 7.5
Answer:
a. 21: 45
d. 63: 135
Step-by-step explanation:
Ratio or Relationship of two quantities is the result of comparing two quantities.
Such a comparison could be indicated as a reason, in four different ways, in this way:
1)a: b
2)a ÷ b
3)a/b
d)The reason for a is a b.
Equivalent ratios can be used to show the same relationship between two quantities. Remember that the word "equivalent" means the same.
Problem development
We observe what are the equivalent relationships 7:15 and conclude that they are the following:
a.To find the equivalent ratio, we divide the numerator and denominator by the same number , In this case we divide by 3:
21: 45 = 21/45 = 21÷3 /45÷3 = 7/15
d.To find the equivalent ratio, we divide the numerator and denominator by the same number , In this case we divide by 9:
63: 135= 63/135 = 63÷9 /135÷9= 7/15
Step-by-step explanation:
first 5% =0.05
second 4.2 x 10 =42
then the correct answer is A