Pick the story that can be modeled by the equation 4x = 40. Choices: (A)Kathleen made 4 costume crowns for her drama club's fall play. She glued x gems on each crown and used a total of 40 gems. (B)Kathleen opened a bag containing x gems. She took out 4 gems and glued them on a crown to wear during her performance in the school play. There were 40 gems left in the bag.

Question

Pick the story that can be modeled by the equation 4x = 40.   Choices: (A)Kathleen made 4 costume crowns for her drama club's fall play. She glued x gems on each crown and used a total of 40 gems. (B)Kathleen opened a bag containing x gems. She took out 4 gems and glued them on a crown to wear during her performance in the school play. There were 40 gems left in the bag.

Bytelearn · Accepted Answer

Analyze Equation:  Step 1: Analyze the equation 4x = 40. We need to find a scenario where multiplying a quantity x by 4 gives 40. Consider Option (A):  Step 2: Consider option (A). If Kathleen glued x gems on each of 4 crowns, the total number of gems used would be 4x. We set this equal to 40 to match the equation. Solve for x:  Step 3: Solve for x in the equation from option (A). 4x = 40 x = 40 / 4 x = 10 This means Kathleen used 10 gems per crown, which totals to 40 gems for 4 crowns. Consider Option (B):  Step 4: Consider option (B). Kathleen took out 4 gems and 40 gems were left in the bag. This does not involve multiplying x by 4 to equal 40, so it doesn't fit the equation 4x = 40.

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