Carlos has $24, which is 1 1/3 as much money as Luisa has. How much money does Luisa have?
2 answers:
Answer:
Luisa has $18
Step-by-step explanation:
Let us solve the question
∵ Carlos has $24
∵ Carlos has 1 as much money as Luisa has
→ Let Luisa has x dollars
∵ Luisa has x dollars
∴ Carlos money = 1 × x
∴ Carlos money = 1 x
→ Change the mixed number to an improper fraction
∵ 1 =
=
∴ Carlos money = x
→ Substitute the Carlos money by 24
∵ 24 = x
→ Multiply both sides by 3
∵ 24 × 3 = 4x
∴ 72 = 4x
→ Divide both sides by 4
∴ 18 = x
∴ Luisa has $18
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See attached
Step-by-step explanation:
When there is a lot of repetitive calculation to do, I like to let a spreadsheet or graphing calculator do it. The attached shows a spreadsheet that computes all the values you're asked to find.
For a linear equation in standard form, ax +by = c
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You will note that the last two equations describe the same line.
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<em>Note on spreadsheet formulas</em>
When you put the formulas into the spreadsheet, make sure to fix the column number or row number of the values you're computing, as appropriate. For example, the y-values in the different columns always use the slope from the slope column (fixed), the y-intercept from that column (fixed), and the x-value from the top row (fixed). If you make the cell references relative instead of fixed, you will get wrong answers.
