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a restaurant has 6 containers of coffee creamer to put on tables. the g…

Question

a restaurant has 6 containers of coffee creamer to put on tables. the graph shows how much creamer is left in each container. if you distribute all of the creamer equally among the 6 containers, how much will be in each container? 1 cup \\(\frac{5}{6}\\) cup \\(1\frac{1}{6}\\) cups \\(\frac{6}{7}\\) cup

Explanation:

Step1: Determine total creamer

From the graph, count the number of x's at each value: 2 at $\frac{1}{2}$, 1 at 1, 2 at $1\frac{1}{2}$, 1 at 2.
Total creamer: $2\times\frac{1}{2} + 1\times1 + 2\times1\frac{1}{2} + 1\times2$
$= 1 + 1 + 3 + 2 = 7$ cups? Wait, no—wait, the problem says 6 containers. Wait, the graph has 2 + 1 + 2 + 1 = 6 x's (containers). Let's recalculate:
2 at $\frac{1}{2}$: $2\times\frac{1}{2} = 1$
1 at 1: $1\times1 = 1$
2 at $1\frac{1}{2}$ (which is $\frac{3}{2}$): $2\times\frac{3}{2} = 3$
1 at 2: $1\times2 = 2$
Total: $1 + 1 + 3 + 2 = 7$? Wait, but there are 6 containers. Wait, maybe I miscounted. Wait, the graph: first two x's at $\frac{1}{2}$, then one at 1, two at $1\frac{1}{2}$, one at 2. Total x's: 2+1+2+1=6. So total creamer is $2\times\frac{1}{2} + 1\times1 + 2\times\frac{3}{2} + 1\times2 = 1 + 1 + 3 + 2 = 7$ cups? Wait, no—wait, the problem says "distribute all of the creamer equally among the 6 containers". Wait, maybe the total is 7? Wait, no, let's check again. Wait, maybe the values are: two containers with $\frac{1}{2}$ cup, one with 1 cup, two with $1\frac{1}{2}$ cups, one with 2 cups. So total creamer: $2\times\frac{1}{2} + 1\times1 + 2\times\frac{3}{2} + 1\times2 = 1 + 1 + 3 + 2 = 7$ cups. Then divide by 6 containers: $7\div6 = 1\frac{1}{6}$ cups? Wait, no—wait, $7\div6 = \frac{7}{6} = 1\frac{1}{6}$. Wait, but let's check the options. One of the options is $1\frac{1}{6}$ cups. Wait, but let's re-express:

Wait, maybe I made a mistake. Let's list the amounts:

  • Two containers: $\frac{1}{2}$ cup each: total $\frac{1}{2} + \frac{1}{2} = 1$
  • One container: 1 cup: total 1
  • Two containers: $1\frac{1}{2}$ cup each: $1\frac{1}{2} + 1\frac{1}{2} = 3$
  • One container: 2 cups: total 2

Total creamer: $1 + 1 + 3 + 2 = 7$ cups.

Now, distribute 7 cups equally among 6 containers: $7 \div 6 = \frac{7}{6} = 1\frac{1}{6}$ cups.

Step2: Divide total by number of containers

Total creamer = 7 cups, number of containers = 6.
Each container gets $7 \div 6 = \frac{7}{6} = 1\frac{1}{6}$ cups.

Answer:

$1\frac{1}{6}$ cups (the option: $1\frac{1}{6}$ cups)