Question

the band students at brookshaw junior high school got to choose between ordering a hoodie or a t - shirt to wear on spirit day this year. in the seventh grade band, 7 students ordered the hoodie and 18 students ordered the t - shirt. in the eighth grade band, 12 students ordered the hoodie and 15 students ordered the t - shirt. the hoodies cost h dollars each, and the t - shirts cost t dollars each. pick all the expressions that represent how much the band students spent on hoodies and t - shirts. 25(h + t)+27(h + t) 19h + 33t 7h+18t + 12h + 15t 52(h + t)

Explanation:

Step1: Calculate total hoodie orders

Total hoodies = $7 + 12 = 19$, so cost = $19h$

Step2: Calculate total T-shirt orders

Total T-shirts = $18 + 15 = 33$, so cost = $33t$

Step3: Combine total costs

Total cost = $19h + 33t$

Step4: Verify expanded form

Sum individual grade costs: $7h + 18t + 12h + 15t$, which simplifies to $19h + 33t$

Step5: Eliminate incorrect options

$25(h+t)+27(h+t)=52(h+t)$ overcounts; $52(h+t)$ also overcounts, so they are invalid.

Answer:

• $19h + 33t$
• $7h + 18t + 12h + 15t$