Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
1 answer:
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Answer:
Explanation:
This is a typical problem to solve with a system of two linear equations.
<u>1. Name the variables</u>:
- L: number of lattes
- C: numberof cappuccinos
<u>2. First equation</u>:
- Lattes for $4 ⇒ sale from L lattes = 4L
- Cappuccinos for $3. ⇒ sale fro C cappuccinos = 3C
- Last Friday, the sales totaled $252 ⇒ 4L + 3C = 252
First equation: 4L + 3C = 252
<u>3. Second equation</u>:
- The number of lattes sold was 6 more than 4 times the number of cappuccinos ⇒L = 6 + 4C
Second equation: L = 6 + 4C
<u>4. Solve the system:</u>
Substitute L on the first equation with 6 + 4C
- 4 (6 + 4C) + 3C = 252
Solve:
- Distributive property: 24 + 16C + 3C= 252
- Add like terms: 24 + 19C = 252
- Subtraction property of equalities: 19C = 252 - 24
- Do the operation: 19C = 228
- Division property of equalities: C = 228 / 19
- Do the operation: C = 12
Subsitute C = 12 in L = 6 + 4C
- L = 6 + 4(12) = 6+ 48 = 54
<u>Answer: 54 lattes were sold</u>
