Penny was looking at her clothes closet. The number of dresses she owned were 18 more than twice the number of suits. Together, the number of dresses and the number of suits totaled 51. What was the number of each that she owned?
Penny owns 40 dresses and 11 suits
We are informed that there are 18 dresses, which is more than twice as many as there are suits. As a result:
Additionally, we are informed that there are 51 dresses and suits in total.
By signing up, you agree to our Terms of Service and Privacy Policy
Let's represent the number of dresses Penny owns as D and the number of suits as S.

According to the given information, the number of dresses Penny owns is 18 more than twice the number of suits. This can be represented by the equation: D = 2S + 18

Additionally, the total number of dresses and suits is 51. This can be represented by the equation: D + S = 51

Now, you can solve this system of equations to find the values of D and S. Substitute the expression for D from the first equation into the second equation: (2S + 18) + S = 51

Simplify and solve for S: 3S + 18 = 51 3S = 51  18 3S = 33 S = 11

Now that you know the number of suits, you can find the number of dresses using the first equation: D = 2S + 18 D = 2(11) + 18 D = 22 + 18 D = 40
So, Penny owns 40 dresses and 11 suits.
By signing up, you agree to our Terms of Service and Privacy Policy
Let ( x ) represent the number of suits Penny owned and ( y ) represent the number of dresses she owned.
From the given information, we can form the following system of equations:
 ( y = 2x + 18 ) (The number of dresses is 18 more than twice the number of suits)
 ( x + y = 51 ) (The total number of dresses and suits is 51)
To solve this system of equations, we can use substitution or elimination method.
Substituting ( y = 2x + 18 ) into equation ( x + y = 51 ):
[ x + (2x + 18) = 51 ]
[ 3x + 18 = 51 ]
[ 3x = 51  18 ]
[ 3x = 33 ]
[ x = \frac{33}{3} ]
[ x = 11 ]
Substituting the value of ( x ) into equation ( y = 2x + 18 ):
[ y = 2(11) + 18 ]
[ y = 22 + 18 ]
[ y = 40 ]
So, Penny owns 11 suits and 40 dresses.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a onesided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
 How do you evaluate #16+3(84)#?
 How do you simplify #504((104(3+1)^2)/ (2)) #?
 Aaron's average score on the first 4 tests was 86. His average score on the next two tests was 92. What was Aaron's average score on all 6 tests?
 How do you simplify #5.1+4.83+9.002#?
 What rational number is between #2/6# and #1/6# ?
 98% accuracy study help
 Covers math, physics, chemistry, biology, and more
 Stepbystep, indepth guides
 Readily available 24/7