Question

Ariana orders T-shirts for her volleyball camp. Adult-sized T-shirts cost $5.75 each and

youth-sized T-shirts cost $3.25 each. Ariana has $625 to purchase both adult-sized and
youth-sized T-shirts. If she purchases 55 youth-sized T-shirts, determine algebraically the
maximum number of adult-sized T-shirts she can purchase.
a. Write an inequality to model this situation (1 point):
I
b. Solve your inequality to determine the number of adult-sized shirts Ariana can purchase
round to the nearest tenth (2 points):
c. How many adult-sized shirts can Ariana purchase without going over her budget?
Explain.

Answer 1

Answer: she can get 50 adult t-shirts

Explanation:

55 x 3.25 = 178.75

625-178.75 = 446.25

446.25 - 5.75 = 440.5

440.5-5.75 = 434.75

434.75-5.75 = 429

429-5.75 = 423.25

423.25-5.75 = 417.5

417.5-5.75 = 411.75

411.75-5.75 = 406

406-5.75 = 400.25

400.25-5.75 = 394.5

394.5-5.75 = 388.75

388.75-5.75 = 383

383-5.75 = 377.25

377.25-5.75 = 371.5

371.5-5.75 = 365.75

365.75-5.75 = 360

360-5.75 =354.25

354.25-5.75 = 348.5

348.5-5.75 = 342.75

342.75-5.75 = 337

337-5.75 = 331.25

331.25-5.75 = 325.5

325.5-5.75 = 319.75

319.75-5.75 = 314

314-5.75 = 308.25

308.25-5.75 = 302.5

302.5-5.75 = 296.75

296.75-5.75 = 291

291-5.75 = 285.25

285.25-5.75 = 279.5

279.5-5.75 = 273.75

273.75-5.75 = 268

268-5.75 = 262.25

262.25-11.5 = 250.75

250.75-11.5 = 239.25

239.25-11.5 = 227.75

227.75-11.5 = 216.25

216.25-11.5 = 204.75

204.75-11.5 = 193.25

193.25-11.5 = 181.75

181.75-11.5 = 170.25

170.25-11.5 = 158.75

158.75-11.5 = 147.25

147.25-11.5 = 135.75

135.75-11.5 = 124.25

124.25-11.5 = 112.75

112.75-11.5 = 101.25

101.25-11.5 = 89.75

89.75-11.5 = 78.25

78.25-11.5 =66.75

66.75-11.5 = 55.25

55.25-11.5 = 43.75

43.75-11.5 = 32.25

32.25-11.5 = 20.75

20.75-11.5 = 9.25

2 x 22+32 = 76