Answer:
5+n=12
Step-by-step explanation:
1 / 5
Molly ate \blueD{5}5start color #11accd, 5, end color #11accd ice cream sandwiches, and Torry ate an unknown number of ice cream sandwiches, which we're calling \greenD{n}nstart color #1fab54, n, end color #1fab54. All together, they ate \maroonD{12}12start color #ca337c, 12, end color #ca337c ice cream sandwiches.
Hint #22 / 5
We can represent Molly and Torry's ice cream sandwiches as a sum:
\blueD{5} + \greenD{n}5+nstart color #11accd, 5, end color #11accd, plus, start color #1fab54, n, end color #1fab54
We know that together they ate \maroonD{12}12start color #ca337c, 12, end color #ca337c ice cream sandwiches in one week.
Hint #33 / 5
The following equation matches this situation:
\blueD{5} + \greenD{n} = \maroonD{12}5+n=12start color #11accd, 5, end color #11accd, plus, start color #1fab54, n, end color #1fab54, equals, start color #ca337c, 12, end color #ca337c
Other ways to represent the situation with an equation include: \greenD{n} + \blueD{5} = \maroonD{12}n+5=12start color #1fab54, n, end color #1fab54, plus, start color #11accd, 5, end color #11accd, equals, start color #ca337c, 12, end color #ca337c or \maroonD{12} - \greenD{n} = \blueD{5}12−n=5start color #ca337c, 12, end color #ca337c, minus, start color #1fab54, n, end color #1fab54, equals, start color #11accd, 5, end color #11accd or \maroonD{12} - \blueD{5} = \greenD{n}12−5=nstart color #ca337c, 12, end color #ca337c, minus, start color #11accd, 5, end color #11accd, equals, start color #1fab54, n, end color #1fab54.
Hint #44 / 5
Now we can solve for \greenD{n}nstart color #1fab54, n, end color #1fab54.
Subtract \blueD{5}5start color #11accd, 5, end color #11accd from both sides of the equation to get \greenD{n}nstart color #1fab54, n, end color #1fab54 by itself:
\begin{aligned} \blueD{5} -\blueD{5} + \greenD{n} &= \maroonD{12}-\blueD{5} \\ \\ \greenD{n} &=\greenD{7} \end{aligned}
5−5+n
n
=12−5
=7
Hint #55 / 5
The following equation matches this situation:
\blueD{5} + \greenD{n} = \maroonD{12}5+n=12start color #11accd, 5, end color #11accd, plus, start color #1fab54, n, end color #1fab54, equals, start color #ca337c, 12, end color #ca337c
Torry ate \greenD{7}7start color #1fab54, 7, end color #1fab54 ice cream sandwiches.1 / 5
Molly ate \blueD{5}5start color #11accd, 5, end color #11accd ice cream sandwiches, and Torry ate an unknown number of ice cream sandwiches, which we're calling \greenD{n}nstart color #1fab54, n, end color #1fab54. All together, they ate \maroonD{12}12start color #ca337c, 12, end color #ca337c ice cream sandwiches.
Hint #22 / 5
We can represent Molly and Torry's ice cream sandwiches as a sum:
\blueD{5} + \greenD{n}5+nstart color #11accd, 5, end color #11accd, plus, start color #1fab54, n, end color #1fab54
We know that together they ate \maroonD{12}12start color #ca337c, 12, end color #ca337c ice cream sandwiches in one week.
Hint #33 / 5
The following equation matches this situation:
\blueD{5} + \greenD{n} = \maroonD{12}5+n=12start color #11accd, 5, end color #11accd, plus, start color #1fab54, n, end color #1fab54, equals, start color #ca337c, 12, end color #ca337c
Other ways to represent the situation with an equation include: \greenD{n} + \blueD{5} = \maroonD{12}n+5=12start color #1fab54, n, end color #1fab54, plus, start color #11accd, 5, end color #11accd, equals, start color #ca337c, 12, end color #ca337c or \maroonD{12} - \greenD{n} = \blueD{5}12−n=5start color #ca337c, 12, end color #ca337c, minus, start color #1fab54, n, end color #1fab54, equals, start color #11accd, 5, end color #11accd or \maroonD{12} - \blueD{5} = \greenD{n}12−5=nstart color #ca337c, 12, end color #ca337c, minus, start color #11accd, 5, end color #11accd, equals, start color #1fab54, n, end color #1fab54.
Hint #44 / 5
Now we can solve for \greenD{n}nstart color #1fab54, n, end color #1fab54.
Subtract \blueD{5}5start color #11accd, 5, end color #11accd from both sides of the equation to get \greenD{n}nstart color #1fab54, n, end color #1fab54 by itself:
\begin{aligned} \blueD{5} -\blueD{5} + \greenD{n} &= \maroonD{12}-\blueD{5} \\ \\ \greenD{n} &=\greenD{7} \end{aligned}
5−5+n
n
=12−5
=7
Hint #55 / 5
The following equation matches this situation:
\blueD{5} + \greenD{n} = \maroonD{12}5+n=12start color #11accd, 5, end color #11accd, plus, start color #1fab54, n, end color #1fab54, equals, start color #ca337c, 12, end color #ca337c
Torry ate \greenD{7}7start color #1fab54, 7, end color #1fab54 ice cream sandwiches.
