Question

Hannah, Yu, and Becky went to buy groceries together. All three of them bought pasta, noodles, and split peas.

•Hannah bought 3 packs of pasta, 10 packs of noodles, and 2 packs of split peas.

•Yu bought 5 packs of pasta, 12 packs of noodles, and 1 pack of split peas.

•Becky bought 3 packs of pasta, 15 packs of noodles, and 2 packs of split peas.

How much was each item?
Hannah, Yu, and Becky spent $8.41, $9.42, and $9.66 respectively on these items.

Answer 1

This is a system of equations. Let \(x\) be the amount of past, \(y\) be the amount of noodles, an d\(z\) be the amount of split peas. How would you express the problem algebraically?

Answer 2

Any idea walle?

Answer 3

Need a hint?

Answer 4

yes please

Answer 5

Okay, for Hanna's case we'd come up with the formula:
\[3x+12y+2z = 8.41\]See how I did that? Can you come up with the other equations?