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  1. Eric has $115 to spend on back to school clothes. So far, he has spent $90. Write an inequality to show how much more money Eric can spend.

  2. Sofia has been saving money to buy a new computer. For her birthday. Sofia's mother gave her twice what she had already saved. Now she has $135

AUsing x to represent the money Sofia saved before her mother's present, write an equation that represents the situation.

BHow much did Sofia have before her birthday?

Verified Answer :

meeeep1234

qn1)
115 - 90 = 25
0 >/= x =/< 25

qn2)

a)
135 = x + 2x
135 = 3x

b)
sofia saved x before her birthday:
3x = 135
× = $45

nicorojascalvo

Answer:

1) x ≤ 25. 2) a. 3x = 135 b. $45

Step-by-step explanation:

Question 1

Eric has to spend $115 and he has spent $90. We need to know how much money he can spend, therefore:

Let x = the money he can now spend

90 + x ≤ 115

x ≤ 115 -90

x ≤ 25.

Question 2

In this question we don't know how much money Sofia had. So:

Let x = Money that Sofia had.

If her mother gave her twice what she already had, that mean that she gave her 2x.

The money she had combined by the money her mother gave her was $135, which can be expressed as:

x + 2x = 135

a) 3x = 135

Therefore, we can know how much she had before her birthday.

3x = 135

x = \(\frac{135}{3}\)

x = $45

She had $45 before her birthday

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