Question

87
x x x x 39
a. there are 87 children and 39 adults at a show. the seating in the theater is split into 4 equal sections.
b. there are 87 first graders in after - care. after 39 students are picked up, the teacher put the remaining students into 4 groups for an activity.
c. lin buys a pack of 87 pencils. she gives 39 to her teacher and shares the remaining pencils between herself and 3 friends.
d. andre buys 4 packs of paper clips with 39 paper clips in each. then he gives 87 paper clips to his teacher.

1. e. diegos family spends $87 on 4 tickets to the community festival and $39 on dinner.

mark all that apply
□ a
□ b
□ c
□ d
□ e

Explanation:

Step1: Match bar model to equation

The bar model represents $4x + 39 = 87$, or rearranged: $4x = 87 - 39$. This means total quantity 87, subtract 39, split into 4 equal parts $x$.

Step2: Analyze Option A

Total people = $87+39$, split into 4 sections. Equation: $4x=87+39$. Does not match.

Step3: Analyze Option B

Total 87 students, subtract 39 picked up, split into 4 groups. Equation: $4x=87-39$. Matches the model.

Step4: Analyze Option C

Total 87 pencils, subtract 39 given away, split into 4 people (self +3 friends). Equation: $4x=87-39$. Matches the model.

Step5: Analyze Option D

Total clips: $4\times39$, subtract 87 given away. Equation: $x=4\times39-87$. Does not match.

Step6: Analyze Option E

Total cost: $87+39$, 87 is for 4 tickets. Equation: $4x+39=87$. Matches the model.

Answer:

B. There are 87 first graders in after-care. After 39 students are picked up, the teacher put the remaining students into 4 groups for an activity.
C. Lin buys a pack of 87 pencils. She gives 39 to her teacher and shares the remaining pencils between herself and 3 friends.
E. Diego's family spends $87 on 4 tickets to the community festival and $39 on dinner.