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shusha [124]
3 years ago
13

lauren wants to keep her cell phone bull under $60 per month. Her current cell phone plan is $30 per month plus $0.50 per text.

Write an inequality to represent the number of texts t, Lauren can send each month while staying within her budget
Mathematics
1 answer:
stellarik [79]3 years ago
8 0

Answer:

The correct answer is t < 60.

Step-by-step explanation:

Lauren wants to keep her cell phone bill below $60 per month.

Lauren's current cellphone plan charges her a fixed price of $30 and per text price for one text is $0.50.

Let Lauren sends t texts in a complete month.

Total money spent on texts in a month is given by $ (0.50 × t)

Therefore Lauren's total spent in a month is given by $ (30 + (0.50 × t)).

But this amount should be under $60 as per as the given problem.

∴ 30 + (0.50 × t) < 60

⇒ (0.50 × t) < 30

⇒ t < \frac{30}{0.50}

⇒ t < 60.

So in order to keep her phone monthly bill under $60, Lauren should keep her number of texts below 60.

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A store sells bread and milk. On Tuesday, 3 loaves of bread and 2 litres of milk were sold for €6.25. On Thursday
chubhunter [2.5K]

Equation is 4b + 5m = €10.90, and values of b and m are €1.35 and €1.1 respectively.

Step-by-step explanation:

  • Step 1: Find equation for Thursday's sales.

Given b = price of a loaf of bread and m = price of one liter of milk

Total sales = €10.90

Equation ⇒ 4b + 5m = €10.90

  • Step 2: Find the values of b and m.

3b + 2m = 6.25 ----- (1)

4b + 5m = 10.90 ---- (2)

Multiply eq(1) by 5 and eq(2) by 2 to make coefficients of m equal.

15b + 10m = 31.25

8b + 10m = 21.8

Subtract eq(2) from eq(1)

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Substitute for b and find m using eq(1).

⇒ 3 × 1.35 + 2m = 6.25

⇒ 4.05 + 2m = 6.25

⇒ 2m = 2.2

∴∴ m = 2.2/2 = €1.1

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