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Jervane is planning on buying a coffee and several donuts for a road trip. She wants to spend no more than $20 in total. Coffee costs $3 and donuts are $2 each. Write and solve an inequality to determine the maximum number of donuts that Jervane can buy. Be sure to include units on your answer.

Sagot :

Answer:

8

Step-by-step explanation:

Given:

Total money Jervane can spend = $20.

Cost of a coffee = $3.

Cost of a donut = $2.

To find: Maximum number of donuts Jervane can buy.

Solution:

Let the number of donuts she can buy be [tex]x[/tex].

She wants to spend no more than $20 in total.

So,

[tex]3+2x\leq 20[/tex]

[tex]\Rightarrow 2x\leqslant 20-3[/tex]

[tex]\Rightarrow 2x\leqslant 17[/tex]

[tex]\Rightarrow x\leqslant \frac{17}{2}[/tex]

[tex]\Rightarrow x\leqslant 8 \frac{1}{2}[/tex]

As the number of donuts can only be a natural number.

Hence, the maximum number of donuts that Jervane can buy are 8.

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