Jan buys 3 bags of beads. Each bag contains 7 beads. Draw a bar diagram and write an addition equation and a multiplication equa
tion to show how many beads Jan buys. How are the equation related?
1 answer:
Answer:
- The diagram bar is attached.
- Addition equation:
- Multiplication equation:
- How are the equation related? Each equation shows 3 groups of 7.
Step-by-step explanation:
We know that Jan buys 3 bags of beads and each bag contains 7 beads, then, you can draw the bar diagram shown attached.
Observe that the diagram has 3 blocks (each block represents a bag of bead) and there is a number 7 inside of each block (which is the number of beads contained in a bag).
Therefore:
- Add the numbers inside the blocks in order to get the addition equation that shows the number of beads Jan buys. This is:
- Multiply 3 blocks by 7 in order to get multiplication equation that show the number of beads Jan buys:
The equations are related. Each one shows 3 groups of 7.
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So, this is a proportion problem. If we express 75% as a fraction (3/4ths), we have:
Since he won all of his games, we add the number won (x), to the number previously won and divide it by the total games played which is just the previous games played plus the number of current games played, so since he lost no games we still add x to the denominator as well. Solving this gives us:
That x value is 20.