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Answer :
With an income of $60 and given the prices of muffins and cookies, Laura will buy 8 muffins and 17 cookies. If the store carries only 10 muffins and 30 cookies, she will buy all 10 muffins and 17 cookies.
To determine the number of cookies and muffins Laura will buy, we need to consider her budget constraint.
With an income of $60, let's calculate how many cookies and muffins she can buy. Since a muffin costs $4 and a cookie costs $1.50, we can set up the following equation: 4m + 1.5c = 60, where m represents the number of muffins and c represents the number of cookies.
Simplifying the equation, we have: 4m + 1.5c = 60.
To find the solution, we can use trial and error or substitute one variable in terms of the other. Let's assume she buys x muffins. Therefore, she will buy 2x cookies since two cookies substitute for one muffin.
Substituting in the equation, we have: 4x + 1.5(2x) = 60.
Simplifying further, we get: 4x + 3x = 60.
Combining like terms, we have: 7x = 60.
Solving for x, we find that x ≈ 8.57.
Since Laura can't buy a fraction of a muffin or cookie, she will buy 8 muffins and 17 cookies.
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