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Question1) Pablo has \$10. Can he buy 7 packs of gum at \$1.50 each?
2) True or False? Prove: 64×8×100=640×8×10 64 \times 8 \times 100=640 \times 8 \times 10
3) Who has the higher total? Explain your reasoning.
4) Find the totals and verify your reasoning.

Studdy Solution

STEP 1

Assumptions1. Pablo has ten dollars. . He wants to buy7 packs of gum.
3. Each pack of gum costs $1.50.

STEP 2

First, we need to find the total cost of the7 packs of gum. We can do this by multiplying the number of packs by the cost per pack.
Total cost=Number of packstimesCost per packTotal\, cost = Number\, of\, packs \\times Cost\, per\, pack

STEP 3

Now, plug in the given values for the number of packs and cost per pack to calculate the total cost.
Total cost=7times$1.50Total\, cost =7 \\times \$1.50

STEP 4

Calculate the total cost of the7 packs of gum.
Total cost=7times$1.50=$10.50Total\, cost =7 \\times \$1.50 = \$10.50

STEP 5

Now that we have the total cost, we can compare it with the amount of money Pablo has to determine if he has enough.
ablo has enough money if Total cost≤Amount of money Pablo hasablo\, has\, enough\, money\, if\, Total\, cost \leq Amount\, of\, money\, Pablo\, has

STEP 6

Plug in the values for the total cost and the amount of money Pablo has to make the comparison.
$10.50≤$10\$10.50 \leq \$10

STEP 7

From the comparison, we can see that Pablo does not have enough money to buy7 packs of gum because 10.50isgreaterthan10.50 is greater than 10.

STEP 8

Assumptions for the second problem1. We are asked to verify the equality 64×8×100=640×8×1064 \times8 \times100=640 \times8 \times10

STEP 9

First, we can simplify both sides of the equation.
On the left side, we have 64×8×10064 \times8 \times100.
On the right side, we have 640×8×640 \times8 \times.

STEP 10

Calculate the value of the left side of the equation.
64×8×100=5120064 \times8 \times100 =51200

STEP 11

Calculate the value of the right side of the equation.
640×8×10=51200640 \times8 \times10 =51200

STEP 12

Since both sides of the equation equal51200, the statement is true.

STEP 13

For the third problem, we need more information to determine who has the higher total.

STEP 14

For the fourth problem, we need more information to calculate the totals and verify our thinking.

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