Question

· Ophelia purchased 1 bunch of grapes, 2 earrings, 4 rings, 2 jars of olives, and 3 plums, spending $135 total.

· Cyrus purchased 1 ring, 2 bunches of grapes, 2 earrings, 4 jars of olives, and 5 plums, spending $151 total.

· Tressa purchased 5 earrings, 3 bunches of grapes, 2 jars of olives, 4 plums, and 2 rings, spending $163 total.

· Olberic purchased 1 jar of olives, 1 earring, 2 plums, 6 rings, and 4 bunches of grapes, spending $146 total.

· Primrose purchased 1 plum, 4 rings, 5 bunches of grapes, 3 earrings, and 3 jars of olives, spending $187 total.

Find the prices of each item purchased.

Answer 1

let amount spend on grapes = x

earrings = y

rings = z

olives = w

plums = p

setting up the equations

x + 2y + 4z + 2w + 3p = 135

2x + 2y + 1z + 4w + 5p = 151

Tressa purchased 5 earrings, 3 bunches of grapes, 2 jars of olives, 4 plums, and 2 rings, spending $163 total.

3x + 5y + 2z + 2w + 4p = 163

Olberic purchased 1 jar of olives, 1 earring, 2 plums, 6 rings, and 4 bunches of grapes, spending $146 total.

4x + y + 6z + w + 2p = 146

Primrose purchased 1 plum, 4 rings, 5 bunches of grapes, 3 earrings, and 3 jars of olives, spending $187 total.

5x + 3y + 4z + 3w + p = 187

so, grapes = $ 7

earrings = $ 12

rings = $ 13

olives = $ 20

plums = $ 4