Respuesta :
Answer:
[tex]36[/tex] T-shirts and [tex]12[/tex] Baseball Caps
Step-by-step explanation:
GIVEN: The ninth graders at a high school are raising money by selling T-shirts and baseball caps. The number of T-shirts sold was three times the number of caps. The profit they received for each T-shirt sold was [tex]\$5.00[/tex], and the profit on each cap was [tex]\$2.50[/tex].
TO FIND: If the students made a total profit of [tex]\$210[/tex], how many T-shirts and how many caps were sold.
SOLUTION:
Let the total number of T-shirts sold are [tex]=\text{t}[/tex]
Let the total number of Baseball Caps sold are [tex]=\text{b}[/tex]
Profit received on each T-shirt [tex]=\$5.00[/tex]
Profit received on each Baseball Caps [tex]=\$2.50[/tex]
Total profit received on T-shirts [tex]=\$5.00\text{t}[/tex]
Total profit received on Baseball Caps [tex]=\$2.50\text{b}[/tex]
[tex]5\text{t}+2.5\text{b}=210[/tex]
Also,
The number of T-shirts sold was three times the number of caps.
[tex]\text{t}=3\text{b}[/tex]
putting in equation,
[tex]5\times\text{3b}+2.5\text{b}=210[/tex]
[tex]17.5\text{b}=210[/tex]
[tex]\text{b}=12[/tex]
[tex]\text{t}=3\times12[/tex]
[tex]\text{t}=36[/tex]
Hence total [tex]36[/tex] t-shirts and [tex]12[/tex] baseball Caps were sold.
