Ratios · Rates & unit rates · 2.3

Unit price & best buy.

To compare deals, find the unit price (cost per one) of each and choose the smaller. 4 for $12 is $3 each; 6 for $15 is $2.50 each — the second is the better buy.

01 / THE IDEA

See it work.

Watch the method

Unit price & best buy

Compare the price per one; the smaller wins.

1 / 1
3:123 : 12
1

Simplify

Reduce the ratio.

3:12=1:43:12 = 1:4
— / WHY IT WORKS

The idea underneath.

Cost per one

Divide price by quantity for each option; the lower unit price is the better deal.

Why it works

$2.50 each beats $3 each.

03 / WORKED EXAMPLES

From easy to tricky.

EX 1easy

Which is the better buy? A: 2 for $10. B: 2 for $6.

1

Answer

B

EX 2medium

Which is the better buy? A: 5 for $15. B: 3 for $12.

1

Answer

A

EX 3hard

Which is the better buy? A: 2 for $8. B: 6 for $12.

1

Answer

B

04 / COMMON TRAPS

Where students slip.

Trap

Comparing totals instead of unit prices.

Fix

Compare cost per ONE item.

Trap

Picking the bigger pack automatically.

Fix

Bigger isn’t always cheaper per unit.

05 / QUIZ

Test yourself.

The Test

12 problems across three tiers. Auto-graded on submit. Hints and a full walkthrough on every question. Your work is saved on this device — sign in to keep it across devices.

0/12Answered
How to answerType just the value. Formatting won't trip you up — we ignore spaces, capital letters, commas, and subscript style, so t₁ = 5, d = 3 and t1=5,d=3 both count. For a list of numbers, separate them with commas (e.g. 3, 10, 17).
Core

Core (4)

C1

Which is the better buy? A: 4 for $8. B: 3 for $12.

Need a hint?
  • Find each option’s price per one.
  • Choose the lower unit price.
C2

Which is the better buy? A: 5 for $15. B: 3 for $12.

Need a hint?
  • Find each option’s price per one.
  • Choose the lower unit price.
C3

Which is the better buy? A: 4 for $8. B: 3 for $9.

Need a hint?
  • Find each option’s price per one.
  • Choose the lower unit price.
C4

Which is the better buy? A: 2 for $4. B: 3 for $9.

Need a hint?
  • Find each option’s price per one.
  • Choose the lower unit price.
Apply

Apply (4)

A1

Which is the better buy? A: 3 for $12. B: 2 for $6.

Need a hint?
  • Find each option’s price per one.
  • Choose the lower unit price.
A2

Which is the better buy? A: 2 for $6. B: 4 for $12.

Need a hint?
  • Find each option’s price per one.
  • Choose the lower unit price.
A3

Which is the better buy? A: 3 for $12. B: 2 for $10.

Need a hint?
  • Find each option’s price per one.
  • Choose the lower unit price.
A4

Which is the better buy? A: 5 for $10. B: 2 for $8.

Need a hint?
  • Find each option’s price per one.
  • Choose the lower unit price.
Extension

Extension (4)

E1

Which is the better buy? A: 5 for $10. B: 6 for $30.

Need a hint?
  • Find each option’s price per one.
  • Choose the lower unit price.
E2

Which is the better buy? A: 4 for $8. B: 4 for $8.

Need a hint?
  • Find each option’s price per one.
  • Choose the lower unit price.
E3

Which is the better buy? A: 4 for $8. B: 3 for $6.

Need a hint?
  • Find each option’s price per one.
  • Choose the lower unit price.
E4

Which is the better buy? A: 5 for $10. B: 3 for $6.

Need a hint?
  • Find each option’s price per one.
  • Choose the lower unit price.