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.

Answer 1

`19h + 33t`

`7h + 18t +12h + 15t`

Explanation:

The two expressions above are equal and both represent the total spent on hoodies and t-shirts.

`25(h+t) + 27(h + t)` is incorrect because this implies that the cost of t-shirts and hoodies are interchangeable. The choice in the bottom right is incorrect also because it is equivalent to the aforementioned expression.

Answer 2

The total amount spent on hoodies by the band students is represented by the expression 19h, and the total amount spent on T-shirts is represented by 33t.

The question involves calculating the total cost of hoodies and T-shirts ordered by band students at Brookshaw Junior High School. We know that the seventh-grade band ordered 7 hoodies and 18 T-shirts, while the eighth-grade band ordered 12 hoodies and 15 T-shirts. The cost of each hoodie is h dollars and the cost of each T-shirt is t dollars.

To find out how much was spent on hoodies by all students, we multiplied the number of hoodies ordered by the cost per hoodie. This gives us the expression 7h for seventh grade and 12h for eighth grade. Adding both expressions together, we get the total spent on hoodies: (7 + 12)h or 19h.

Similarly, for T-shirts, we multiply the number of T-shirts ordered by the cost per T-shirt. This results in 18t for seventh grade and 15t for eighth grade. Adding both expressions together, we get the total spent on T-shirts: (18 + 15)t or 33t.

Therefore, the expressions that represent the total amount spent on hoodies and T-shirts by the band students are 19h for hoodies and 33t for T-shirts.