Let's assume the initial number of orange trees on MacDonald's farm is \( t \).
According to the problem, MacDonald removed 5 orange trees, so the number of trees remaining after the removal is \( t - 5 \).
Each of the remaining trees produced 210 oranges, so the total number of oranges from the remaining trees is \( 210(t-5) \).
The problem also states that the total harvest was 41790 oranges. So, we can write the equation:
\( 210(t-5) = 41790 \)
To find the initial number of orange trees, we can solve this equation for \( t \):
\( 210t - 1050 = 41790 \)
\( 210t = 42840 \)
\( t = \frac{42840}{210} \)
\( t \approx 204 \)
So, the initial number of orange trees on MacDonald's farm was approximately 204.
At the beginning of the season, MacDonald had to remove
\[5\] orange trees from his farm. Each of the remaining trees produced
\[210\] oranges for a total harvest of
\[41790\] oranges.
Write an equation to determine the initial number of orange trees
\[(t)\] on MacDonald's farm.
Find the initial number of orange trees on MacDonald's farm.
orange trees
5 answers
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was
\[\$43.25\]. He had to pay a
\[\$7\] entrance fee and
\[\$1.25\] for every minute he was on the trampoline.
Write an equation to determine the number of minutes
\[(t)\] that Raymond was on the trampoline.
Find the number of minutes he was on the trampoline.
minutes
\[\$43.25\]. He had to pay a
\[\$7\] entrance fee and
\[\$1.25\] for every minute he was on the trampoline.
Write an equation to determine the number of minutes
\[(t)\] that Raymond was on the trampoline.
Find the number of minutes he was on the trampoline.
minutes
Let's assume the number of minutes Raymond was on the trampoline is \( t \).
According to the problem, Raymond had to pay a $7 entrance fee and $1.25 for every minute he was on the trampoline. So, the total cost of his session can be represented by the equation:
\( 7 + 1.25t = 43.25 \)
To find the number of minutes he was on the trampoline, we can solve this equation for \( t \):
\( 1.25t = 43.25 - 7 \)
\( 1.25t = 36.25 \)
\( t = \frac{36.25}{1.25} \)
\( t = 29 \)
So, Raymond was on the trampoline for 29 minutes.
According to the problem, Raymond had to pay a $7 entrance fee and $1.25 for every minute he was on the trampoline. So, the total cost of his session can be represented by the equation:
\( 7 + 1.25t = 43.25 \)
To find the number of minutes he was on the trampoline, we can solve this equation for \( t \):
\( 1.25t = 43.25 - 7 \)
\( 1.25t = 36.25 \)
\( t = \frac{36.25}{1.25} \)
\( t = 29 \)
So, Raymond was on the trampoline for 29 minutes.
Cookies are on sale! Today each cookie costs
\[\$0.75\] less than the normal price. Right now if you buy
\[7\] of them it will only cost you
\[\$2.80\]!
Write an equation to determine the normal price of each cookie
\[(c)\].
Find the normal price of each cookie.
\[\$\]
\[\$0.75\] less than the normal price. Right now if you buy
\[7\] of them it will only cost you
\[\$2.80\]!
Write an equation to determine the normal price of each cookie
\[(c)\].
Find the normal price of each cookie.
\[\$\]
Let's assume the normal price of each cookie is \( c \).
According to the problem, each cookie costs $0.75 less than the normal price. Therefore, the sale price of each cookie is \( c - 0.75 \).
If you buy 7 cookies, it will only cost you $2.80. So, we can write the equation:
\( 7(c-0.75) = 2.80 \)
To find the normal price of each cookie, we can solve this equation for \( c \):
\( 7c - 5.25 = 2.80 \)
\( 7c = 7.05 \)
\( c = \frac{7.05}{7} \)
\( c \approx 1 \)
Therefore, the normal price of each cookie is approximately $1.
According to the problem, each cookie costs $0.75 less than the normal price. Therefore, the sale price of each cookie is \( c - 0.75 \).
If you buy 7 cookies, it will only cost you $2.80. So, we can write the equation:
\( 7(c-0.75) = 2.80 \)
To find the normal price of each cookie, we can solve this equation for \( c \):
\( 7c - 5.25 = 2.80 \)
\( 7c = 7.05 \)
\( c = \frac{7.05}{7} \)
\( c \approx 1 \)
Therefore, the normal price of each cookie is approximately $1.
5 answers