Question

Jane brought x shirts for $20 each and y skirts for $25 each she spent $210 in all. which equation represents this situation 2

A. 20+x+25+y=210
B. 25+20+xy=210
C. 25x+20y=210
D.20x+25y=210

Part B
If jane purchased exactly 4 shirts she must have purchased Exactly ___ skirts. (round to the nearest tenth)
is it possible for jane to purchase exactly 4 shirts? ____(yes or no)

Answer 1

Part A

20x + 25y = 210 --> D.

Part B

If jane purchased exactly 4 shirts she must have purchased Exactly ___ skirts. (round to the nearest tenth)

20*4 + 25y = 210 --> y = 5.2

is it possible for jane to purchase exactly 4 shirts? ____(yes or no)

no, because she can't buy 5.2 skirts.

Answer 2

D.20x+25y=210

She bought 5.2 skirts

She cannot buy part of a skirt, so if she spent exactly 210 she cannot buy 4 shirts and 5.2 skirts. NO

Explanation:

Total cost = shirts * cost per shirt + skirts * cost per skirt

210 = x *20 + y * 25

If she bought 4 shirts x=4

210 = 4*20 + 25y

210 = 80 + 25y

Subtract 80 from each side

210-80 = 80-80 +25y

130 = 25y

Divide by 25

130/25 = 25y/25

5.2 = y

She bought 5.2 skirts

She cannot buy part of a skirt, so if she spent exactly 210 she cannot buy 4 shirts and 5.2 skirts. NO