Allison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Allison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?

A.4
B.5
C.8
D.9

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

Given that:-

Allison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each.

If Allison needs to buy at least 12 binders and has no more than $45 to spend,
what is the maximum number of large binders she can buy?

From the given data we can form the equation let n1 and n2 are the numbers of the small and the large binders and Sb and Lb are the cost of each binder.

n₁Sb + n₂Lb = 45 ................................1

n₁ + n₂ = 12

Now put the value of n₁ in equation 1.

( 12 - n₂ )3 + 5n₂ = 45

36 - 3n₂ + 5n₂ = 45

2n₂ = 9

n₂ = 4.5

n₂ ≅ 5

Therefore the maximum number of large binders she can buy is 5.

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Allison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Allison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy? A.4 B.5 C.8 D.9

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What is an expression?

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Allison is buying binders for school. Small binders cost $3 each, and large binders cost $5 each. If Allison needs to buy at least 12 binders and has no more than $45 to spend, what is the maximum number of large binders she can buy?

A.4
B.5
C.8
D.9