Buying Christmas GiftsPro Problems > Math > Algebra > Equations > Systems of Equations > Word Problems > Many Variables
Buying Christmas Gifts
Lauren, Martha, Jake and Judah all decide to buy Christmas gifts for each other.
Lauren spends $5 more than Martha. Martha spends twice as much as Jake, Jake spends $17 less than Judah, and Judah spends $15 less than Lauren and Martha combined.
How much money did they spend altogether?
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Find the sum of x, y, z, and w if
3x + y = 170
y + 3z = 50
z + x - 2w = 30
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Let a, b, c,...x, y, z be variables such that:
- Every consonant that is preceded by a vowel is two less than twice the value of that vowel.
- Every consonant that is preceded by another consonant is twice the value of that consonant.
- Every vowel is one sixteenth the value of the consonant preceding it.
Write z in terms of a.